We are open Saturday and Sunday!

Call Now to Set Up Tutoring:

(888) 888-0446

Intermediate Geometry : Parallelograms

Study concepts, example questions & explanations for Intermediate Geometry

Create An Account

All Intermediate Geometry Resources

8 Diagnostic Tests 250 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #4 : How To Find An Angle In A Parallelogram

Custom_vt_rhomb_3

Using the above rhombus, find the sum of angle and angle .

Possible Answers:

$133^\circ$

$94^\circ$

$47^\circ$

$90^\circ$

Correct answer:

$94^\circ$

Explanation:

A rhombus must have equivalent opposite interior angles. Additionally, the sum of all four interior angles must equal 360 degrees. And, the adjacent interior angles must be supplementary angles (sum of 180 degrees).

Thus, the solution is:

$\measuredangle H=47^\circ$

$\measuredangle F=47^\circ$

$47^\circ+47^\circ=94^\circ$

Report an Error

Example Question #1 : How To Find An Angle In A Parallelogram

Vt_rhomb_4

Given that the measurement of angle B=52 degrees, find the sum of angle and angle

Possible Answers:

$104^\circ$

$128^\circ$

$65^\circ$

$256^\circ$

Correct answer:

$256^\circ$

Explanation:

A rhombus must have equivalent opposite interior angles. Additionally, the sum of all four interior angles must equal 360 degrees. And, the adjacent interior angles must be supplementary angles (sum of 180 degrees)--i.e. angles A+D=180 degrees.

The solution to this problem is:

$\measuredangle B+\measuredangle C=180^\circ$

$52+\measuredangle C=180^\circ$

$C= 180-52=128^\circ$

$\measuredangle C=\measuredangle A$

Therefore,

$128+128=256^\circ$

Report an Error

Example Question #6 : How To Find An Angle In A Parallelogram

Custom_vt_rhomb_3

Using the above rhombus, find the measurement of angle

Possible Answers:

$133^\circ$

$113^\circ$

$47^\circ$

$313^\circ$

Correct answer:

$133^\circ$

Explanation:

A rhombus must have equivalent opposite interior angles. Additionally, the sum of all four interior angles must equal 360 degrees. And, the adjacent interior angles must be supplementary angles (sum of 180 degrees).

Thus, the solution is:

$\measuredangle H+\measuredangle G=180^\circ$
$47+\measuredangle G=180^\circ$
$\measuredangle G=180-47=133^\circ$

Report an Error

Example Question #1 : How To Find An Angle In A Parallelogram

Vt_rhomb_4

In the above rhombus, angle has a measurement of 128 degrees. Find the sum of angles and

Possible Answers:

$128^\circ$

$104^\circ$

$78^\circ$

$52^\circ$

Correct answer:

$104^\circ$

Explanation:

128+D=180

D=180-128=52

$\measuredangle D=\measuredangle B$

Thus,

$52+52=104^\circ$

Report an Error

Example Question #8 : How To Find An Angle In A Parallelogram

Vt_parallelogram_5

Using the parallelogram above, find the measurement of angle

Possible Answers:

$91^\circ$

$162^\circ$

$81^\circ$

$80^\circ$

Correct answer:

$81^\circ$

Explanation:

A parallelogram must have equivalent opposite interior angles. Additionally, the sum of all four interior angles must equal 360 degrees. And, the adjacent interior angles must be supplementary angles (sum of 180 degrees).

Since, angle and are supplementary the solution is:

$180-99=81^\circ$

Report an Error

Example Question #1 : How To Find An Angle In A Parallelogram

Vt_parallelogram_5

Using the parallelogram above, find the sum of angles and .

Possible Answers:

$80^\circ$

$99^\circ$

$162^\circ$

$81^\circ$

Correct answer:

$162^\circ$

Explanation:

A rhombus must have equivalent opposite interior angles. Additionally, the sum of all four interior angles must equal 360 degrees. And, the adjacent interior angles must be supplementary angles (sum of 180 degrees).

The first step to solving this problem is to find the measurement of angle . Since angle is a supplementary angle to angle , angle

$180-99=81^\circ$

Since, angle and are opposite interior angles they must be equivalent.

Thus, the final solution is:

$81+81=162^\circ$

Report an Error

Example Question #1 : How To Find An Angle In A Parallelogram

Vt_parallelogram_5

Using the parallelogram above, find the sum of angles and .

Possible Answers:

$162^\circ$

$198^\circ$

$81^\circ$

$99^\circ$

Correct answer:

$198^\circ$

Explanation:

A parallelogram must have equivalent opposite interior angles. Additionally, the sum of all four interior angles must equal 360 degrees. And, the adjacent interior angles must be supplementary angles (sum of 180 degrees).

Since, angles and are opposite interior angles, they must be equivalent.

Therefore, the solution is:

$99+99=198^\circ$

Report an Error

Example Question #11 : How To Find An Angle In A Parallelogram

Parallelogram_7

In the parallelogram shown above, angle is degrees. Find the measure of angle

Possible Answers:

$144^\circ$

$90^\circ$

$92^\circ$

$72^\circ$

Correct answer:

$72^\circ$

Explanation:

A parallelogram must have equivalent opposite interior angles. Additionally, the sum of all four interior angles must equal 360 degrees. And, the adjacent interior angles must be supplementary angles (sum of 180 degrees).

Since, angles and are opposite interior angles, thus they must be equivalent.

$\measuredangle E=72^\circ$ , therefore $\measuredangle G=72^\circ$

Report an Error

Example Question #11 : How To Find An Angle In A Parallelogram

Parallelogram_7

In the parallelogram shown above, angle is degrees. Find the sum of angles and .

Possible Answers:

$104^\circ$

$126^\circ$

$140^\circ$

$216^\circ$

Correct answer:

$216^\circ$

Explanation:

A parallelogram must have equivalent opposite interior angles. Additionally, the sum of all four interior angles must equal 360 degrees. And, the adjacent interior angles must be supplementary angles (sum of 180 degrees).

Thus, the solution is:

$180-72=108^\circ$

Since both angles and equal 108. There sum must equal $108+108=216^\circ$

Report an Error

Example Question #13 : How To Find An Angle In A Parallelogram

Parallelogram_7

Using the parallelogram above, find the sum of angles and

Possible Answers:

$180^\circ$

$90^\circ$

$270^\circ$

Not enough information is provided to find an answer.

Correct answer:

$180^\circ$

Explanation:

A parallelogram must have equivalent opposite interior angles. Additionally, the sum of all four interior angles must equal 360 degrees.

Also, the adjacent interior angles must be supplementary angles (sum of 180 degrees).

Since, angles and are adjacent to each other they must be supplementary angles.

Thus, the sum of these two angles must equal 180 degrees.

Report an Error

View Tutors

Adair
Certified Tutor

Marymount College, Bachelor of Science, Chemistry.

View Tutors

Paarth
Certified Tutor

New Jersey Institute of Technology, Bachelor of Science, Computer Science.

View Tutors

Joshua
Certified Tutor

Murray State University, Bachelor in Arts, Spanish. Lipscomb University, Bachelor of Science, Teacher Assistant.

All Intermediate Geometry Resources

8 Diagnostic Tests 250 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

SSAT Tutors in Dallas Fort Worth, Calculus Tutors in Boston, Algebra Tutors in Washington DC, Reading Tutors in New York City, Math Tutors in Miami, SSAT Tutors in Philadelphia, SSAT Tutors in Phoenix, GMAT Tutors in Atlanta, Reading Tutors in Chicago, Physics Tutors in Los Angeles

Popular Courses & Classes

ACT Courses & Classes in Philadelphia, SSAT Courses & Classes in Chicago, MCAT Courses & Classes in Dallas Fort Worth, MCAT Courses & Classes in Miami, ACT Courses & Classes in Washington DC, SSAT Courses & Classes in San Diego, ISEE Courses & Classes in Boston, GRE Courses & Classes in Los Angeles, GRE Courses & Classes in San Diego, GRE Courses & Classes in Houston

Popular Test Prep

ISEE Test Prep in Houston, GRE Test Prep in Denver, GMAT Test Prep in Los Angeles, ACT Test Prep in Philadelphia, LSAT Test Prep in New York City, SAT Test Prep in Dallas Fort Worth, ISEE Test Prep in Chicago, GMAT Test Prep in Dallas Fort Worth, SAT Test Prep in Miami, MCAT Test Prep in Dallas Fort Worth

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

Intermediate Geometry : Parallelograms

Study concepts, example questions & explanations for Intermediate Geometry

All Intermediate Geometry Resources

Example Questions

Example Question #4 : How To Find An Angle In A Parallelogram

Example Question #1 : How To Find An Angle In A Parallelogram

Example Question #6 : How To Find An Angle In A Parallelogram

Example Question #1 : How To Find An Angle In A Parallelogram

Example Question #8 : How To Find An Angle In A Parallelogram

Example Question #1 : How To Find An Angle In A Parallelogram

Example Question #1 : How To Find An Angle In A Parallelogram

Example Question #11 : How To Find An Angle In A Parallelogram

Example Question #11 : How To Find An Angle In A Parallelogram

Example Question #13 : How To Find An Angle In A Parallelogram

All Intermediate Geometry Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: