We are open Saturday and Sunday!

Call Now to Set Up Tutoring:

(888) 888-0446

High School Math : High School Math

Study concepts, example questions & explanations for High School Math

Create An Account

All High School Math Resources

8 Diagnostic Tests 613 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #23 : Acute / Obtuse Triangles

Exterior_angle

If the measure of $\angle A=52^{\circ}$ and the measure of $\angle B= 43^{\circ}$ then what is the meausre of $\angle\theta$ ?

Possible Answers:

$95^{\circ}$

$98^{\circ}$

$82^{\circ}$

Not enough information to solve

$85^{\circ}$

Correct answer:

$95^{\circ}$

Explanation:

The key to solving this problem lies in the geometric fact that a triangle possesses a total of $180^{\circ}$ between its interior angles. Therefore, one can calculate the measure of $\angle C$ and then find the measure of its supplementary angle, $\angle\theta$ .

$180^{\circ}=\angle A + \angle B + \angle C$

$\angle C= 180^{\circ}- 52^{\circ} - 43^{\circ}$

$\angle C= 85^{\circ}$

$\angle C$ and $\angle\theta$ are supplementary, meaning they form a line with a measure of $180^{\circ}$ .

$\angle\theta =180^{\circ} - 85^{\circ}$

$\rightarrow 95^{\circ}$

One could also solve this problem with the knowledge that the sum of the exterior angle of a triangle is equal to the sum of the two interior angles opposite of it.

Report an Error

Example Question #322 : Plane Geometry

Exterior_angle

If the measure of $\angle A=56^{\circ}$ and the measure of $\angle B=47^{\circ}$ then what is the meausre of $\angle\theta$ ?

Possible Answers:

$87^{\circ}$

$77^{\circ}$

$107^{\circ}$

Not enough information to solve

$103^{\circ}$

Correct answer:

$103^{\circ}$

Explanation:

$180^{\circ}=\angle A + \angle B + \angle C$

$\angle C= 180^{\circ}- 56^{\circ} - 47^{\circ}$

$\angle C=77^{\circ}$

$\angle C$ and $\angle\theta$ are supplementary, meaning they form a line with a measure of $180^{\circ}$ .

$\angle\theta =180^{\circ} - 77^{\circ}$

$\rightarrow 103^{\circ}$

One could also solve this problem with the knowledge that the sum of the exterior angle of a triangle is equal to the sum of the two interior angles opposite of it.

Report an Error

Example Question #24 : Acute / Obtuse Triangles

A triangle has angles that measure 114 and degrees. What is the measure of its third angle?

Possible Answers:

120 degrees

degrees

Correct answer:

degrees

Explanation:

The sum of the angles of any triangle is always 180 degrees. Since the third angle will make up the difference between 180 and the sum of the other two angles, add the other two angles together and subtract this sum from 180 .

Sum of the two given angles: 114 + 36 = 150 degrees

Difference between 180 and this sum: 180 - 150 = 30 degrees

Report an Error

Example Question #111 : Triangles

In the triangle below, AB=BC (figure is not to scale) . If angle A is 41°, what is the measure of angle B?

A (Angle A = 41°)

Act_math_108_02

B C

Possible Answers:

Correct answer:

Explanation:

If angle A is 41°, then angle C must also be 41°, since AB=BC. So, the sum of these 2 angles is:

41° + 41° = 82°

Since the sum of the angles in a triangle is 180°, you can find out the measure of the remaining angle by subtracting 82 from 180:

180° - 82° = 98°

Report an Error

Example Question #327 : Geometry

You are given a triangle with angles degrees and degrees. What is the measure of the third angle?

Possible Answers:

degrees

Correct answer:

degrees

Explanation:

Recall that the sum of the angles of a triangle is 180 degrees. Since we are given two angles, we can then find the third. Call our missing angle .

60 + 80 + x = 180

We combine the like terms on the left.

140 + x = 180

Subtract 140 from both sides.

x = 40

Thus, we have that our missing angle is degrees.

Report an Error

Example Question #861 : High School Math

What is the third angle in a triangle with angles of 120 degrees and degrees?

Possible Answers:

degrees

No such triangle can exist.

degrees

Correct answer:

No such triangle can exist.

Explanation:

We know that the sum of the angles of a triangle must add up to 180 degrees. The two given angles sum to 190 degrees. Thus, a triangle cannot be formed.

Report an Error

Example Question #112 : Triangles

Points A, B, C, D are collinear. The measure of ∠ DCE is 130° and of ∠ AEC is 80°. Find the measure of ∠ EAD.

Screen_shot_2013-03-18_at_3.27.08_pm

Possible Answers:

80°

60°

70°

50°

Correct answer:

50°

Explanation:

To solve this question, you need to remember that the sum of the angles in a triangle is 180°. You also need to remember supplementary angles. If you know what ∠ DCE is, you also know what ∠ ECA is. Hence you know two angles of the triangle, 180°-80°-50°= 50°.

Report an Error

Example Question #11 : Isosceles Triangles

If the average (arithmetic mean) of two noncongruent angles of an isosceles triangle is 55^o , which of the following is the measure of one of the angles of the triangle?

Possible Answers:

30^o

45^o

50^o

90^o

40^o

Correct answer:

40^o

Explanation:

Since the triangle is isosceles, we know that 2 of the angles (that sum up to 180) must be equal. The question states that the noncongruent angles average 55°, thus providing us with a system of two equations:

$\frac{x+y}{2}=55^o$

x+x+y=180^o

Solving for x and y by substitution, we get x = 70° and y = 40° (which average out to 55°).

70 + 70 + 40 equals 180 also checks out.

Since 70° is not an answer choice for us, we know that the 40° must be one of the angles.

Report an Error

Example Question #531 : Plane Geometry

Points A, B, and C are collinear (they lie along the same line). The measure of angle CAD is $30^{\circ}$ . The measure of angle CBD is $60^{\circ}$ . The length of segment $\overline{AD}$ is 4.

Find the measure of $\dpi{100} \small \angle ADB$ .

Possible Answers:

$90^{\circ}$

$15^{\circ}$

$45^{\circ}$

$30^{\circ}$

$60^{\circ}$

Correct answer:

$30^{\circ}$

Explanation:

The measure of $\dpi{100} \small \angle ADB$ is $30^{\circ}$ . Since $\dpi{100} \small A$ , $\dpi{100} \small B$ , and $\dpi{100} \small C$ are collinear, and the measure of $\dpi{100} \small \angle CBD$ is $60^{\circ}$ , we know that the measure of $\dpi{100} \small \angle ABD$ is $120^{\circ}$ .

Because the measures of the three angles in a triangle must add up to $180^{\circ}$ , and two of the angles in triangle $\dpi{100} \small ABD$ are $30^{\circ}$ and $120^{\circ}$ , the third angle, $\dpi{100} \small \angle ADB$ , is $30^{\circ}$ .

Report an Error

Example Question #12 : Isosceles Triangles

The base angle of an isosceles triangle is $27^{\circ}$ . What is the vertex angle?

Possible Answers:

$75^{\circ}$

$135^{\circ}$

$149^{\circ}$

$108^{\circ}$

$126^{\circ}$

Correct answer:

$126^{\circ}$

Explanation:

Every triangle has 180 degrees. An isosceles triangle has one vertex angle and two congruent base angles.

Solve the equation $27+27+x=180$ for x to find the measure of the vertex angle.

x = 180 - 27 - 27

x = 126

Therefore the measure of the vertex angle is $126^{\circ}$ .

Report an Error

View Tutors

Angelyne
Certified Tutor

Arizona State University, Master of Arts, Linguistics.

View Tutors

William
Certified Tutor

Daytona State College, Bachelor, Business Management .

View Tutors

Kira
Certified Tutor

centro Universitario Angloamericano, Bachelor, LANGUAGES .

All High School Math Resources

8 Diagnostic Tests 613 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

Physics Tutors in Washington DC, MCAT Tutors in Phoenix, MCAT Tutors in Washington DC, GRE Tutors in Miami, SSAT Tutors in Atlanta, Computer Science Tutors in Seattle, Statistics Tutors in Houston, Spanish Tutors in San Francisco-Bay Area, Spanish Tutors in Houston, GMAT Tutors in Philadelphia

Popular Courses & Classes

SSAT Courses & Classes in Boston, GRE Courses & Classes in Seattle, SSAT Courses & Classes in Denver, Spanish Courses & Classes in New York City, MCAT Courses & Classes in Boston, SAT Courses & Classes in Phoenix, MCAT Courses & Classes in Denver, SSAT Courses & Classes in Los Angeles, GMAT Courses & Classes in Phoenix, SSAT Courses & Classes in San Diego

Popular Test Prep

ISEE Test Prep in New York City, SSAT Test Prep in Phoenix, MCAT Test Prep in New York City, GMAT Test Prep in Phoenix, LSAT Test Prep in Philadelphia, SAT Test Prep in Denver, GRE Test Prep in Seattle, SSAT Test Prep in Dallas Fort Worth, ACT Test Prep in Houston, SSAT Test Prep in Chicago

DMCA Complaint

If you believe that content available by means of the Website (as defined in our Terms of Service) infringes one or more of your copyrights, please notify us by providing a written notice (“Infringement Notice”) containing the information described below to the designated agent listed below. If Varsity Tutors takes action in response to an Infringement Notice, it will make a good faith attempt to contact the party that made such content available by means of the most recent email address, if any, provided by such party to Varsity Tutors.

Your Infringement Notice may be forwarded to the party that made the content available or to third parties such as ChillingEffects.org.

Please be advised that you will be liable for damages (including costs and attorneys’ fees) if you materially misrepresent that a product or activity is infringing your copyrights. Thus, if you are not sure content located on or linked-to by the Website infringes your copyright, you should consider first contacting an attorney.

Please follow these steps to file a notice:

You must include the following:

A physical or electronic signature of the copyright owner or a person authorized to act on their behalf; An identification of the copyright claimed to have been infringed; A description of the nature and exact location of the content that you claim to infringe your copyright, in \ sufficient detail to permit Varsity Tutors to find and positively identify that content; for example we require a link to the specific question (not just the name of the question) that contains the content and a description of which specific portion of the question – an image, a link, the text, etc – your complaint refers to; Your name, address, telephone number and email address; and A statement by you: (a) that you believe in good faith that the use of the content that you claim to infringe your copyright is not authorized by law, or by the copyright owner or such owner’s agent; (b) that all of the information contained in your Infringement Notice is accurate, and (c) under penalty of perjury, that you are either the copyright owner or a person authorized to act on their behalf.

Send your complaint to our designated agent at:

Charles Cohn Varsity Tutors LLC
101 S. Hanley Rd, Suite 300
St. Louis, MO 63105

Or fill out the form below:

Do not fill in this field

Contact Information

* Full legal name

Company name

* Phone number

* Email address

Address

* Address1

Address2

* City

* State

* Zipcode

* Country

Complaint Details

* URL of copyrighted work (where your original material is located)

* Please describe the copyrighted work so that it may be easily identified

I am the owner, or an agent authorized to act on behalf of the owner of an exclusive right that is allegedly infringed.

I have a good faith belief that the use of the material in the manner complained of is not authorized by the copyright owner, its agent, or the law.

This notification is accurate.

I acknowledge that there may be adverse legal consequences for making false or bad faith allegations of copyright infringement by using this process.

* Signature (your digital signature is legally binding)

HIGH SCHOOL

GRADUATE SCHOOL

K-8

Search 50+ Tests

math tutoring

science tutoring

foreign languages

elementary tutoring

other

Search 350+ Subjects

High School Math : High School Math

Study concepts, example questions & explanations for High School Math

All High School Math Resources

Example Questions

Example Question #23 : Acute / Obtuse Triangles

Example Question #322 : Plane Geometry

Example Question #24 : Acute / Obtuse Triangles

Example Question #111 : Triangles

Example Question #327 : Geometry

Example Question #861 : High School Math

Example Question #112 : Triangles

Example Question #11 : Isosceles Triangles

Example Question #531 : Plane Geometry

Example Question #12 : Isosceles Triangles

All High School Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: