Call Now to Set Up Tutoring:

(888) 888-0446

Intermediate Geometry : How to find an angle in a rhombus

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 #1 : How To Find An Angle In A Rhombus

A rhombus has two interior angles with a measurement of degrees. What is the measurement of each of the other two interior angles?

Possible Answers:

Not enough information is provided to solve this problem.

Both of the remaining angles are 124 degrees.

All of the interior angles of the rhombus are degrees.

One angle is 124 degrees and the other angle must be degrees.

Correct answer:

Both of the remaining angles are 124 degrees.

Explanation:

The four interior angles in any rhombus must have a sum of 360 degrees. The opposite interior angles must be equivalent, and the adjacent angles have a sum of 180 degrees.

Thus, if a rhombus has two interior angles of degrees, there must also be two angles that equal:

180-56=124

Check:

56+56+124+124=360

Report an Error

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

Rhombus_missing_angle_dos

Using the rhombus above, find the sum of angles and

Possible Answers:

$101^\circ$

$79^\circ$

$158^\circ$

$202^\circ$

Correct answer:

$158^\circ$

Explanation:

The four interior angles in any rhombus must have a sum of 360 degrees.

The opposite interior angles must be equivalent, and the adjacent angles have a sum of 180 degrees.

Since $\measuredangle C=79^\circ$ then, $\measuredangle A=79^\circ$

$79+79=158^\circ$

Report an Error

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

Rhombus_missing_angle_dos

In the above rhombus, angle C=79 degrees. Find the sum of angles and

Possible Answers:

$202^\circ$

$158^\circ$

$101^\circ$

$110^\circ$

Correct answer:

$202^\circ$

Explanation:

The four interior angles in any rhombus must have a sum of 360 degrees. The opposite interior angles must be equivalent, and the adjacent angles have a sum of 180 degrees.

Since $\measuredangle C=79^\circ$ , $\measuredangle B =180-79=101^\circ$

And $\measuredangle B=\measuredangle D$

So, $101+101=202^\circ$

Report an Error

Example Question #2 : How To Find An Angle In A Rhombus

Vt_vt_rhomb_tres

In the rhombus shown above, angle has a measurement of degrees. Find the measurement of angle .

Possible Answers:

$107^\circ$

$117^\circ$

$63^\circ$

$126^\circ$

Correct answer:

$117^\circ$

Explanation:

The four interior angles in any rhombus must have a sum of 360 degrees.

The opposite interior angles must be equivalent, and the adjacent angles have a sum of 180 degrees.

Since angle is adjacent to angle , they must have a sum of 180 degrees.

The solution is:

$180-63=117^\circ$

Report an Error

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

Vt_vt_rhomb_tres

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

Possible Answers:

$117^\circ$

$140^\circ$

$120^\circ$

$126^\circ$

Correct answer:

$126^\circ$

Explanation:

The four interior angles in any rhombus must have a sum of 360 degrees.

The opposite interior angles must be equivalent, and the adjacent angles have a sum of 180 degrees.

Angles and are opposite interior angles, so they must have equivalent measurements.

The sum is:

$63+63=126^\circ$

Report an Error

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

Vt_vt_rhomb_tres

Angle has a measurement of degrees. Find the sum of angles and

Possible Answers:

$234^\circ$

$203^\circ$

$117^\circ$

$126^\circ$

Correct answer:

$234^\circ$

Explanation:

The four interior angles in any rhombus must have a sum of 360 degrees.

The opposite interior angles must be equivalent, and the adjacent angles have a sum of 180 degrees.

Since, both angles and are adjacent to angle --find the measurement of one of these two angles by: 180-63=117 .

Angle and angle must each equal 117 degrees. So the sum of angles and Y=117+117=234 degrees.

Report an Error

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

Given: Parallelogram ABCD such that $m \angle A = 80^{\circ }$ .

True or false: Parallelogram ABCD cannot be a rhombus.

Possible Answers:

True

False

Correct answer:

False

Explanation:

A rhombus is defined to be a parallelogram with four congruent sides; there is no restriction as to the measures of the angles. Therefore, a rhombus can have angles of any measure. The correct choice is "false".

Report an Error

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

Given: Rhombus ABCD with diagonals $\overline{AC}$ and $\overline{BD}$ intersecting at point .

True or false: $\angle AXB$ must be a right angle.

Possible Answers:

True

False

Correct answer:

True

Explanation:

One characteristic of a rhombus is that its diagonals are perpendicular. It follows that $\angle AXB$ must be a right angle.

Report an Error

Example Question #9 : How To Find An Angle In A Rhombus

Given Rhombus ABCD and diagonal $\overline{ BD}$ .

$m \angle BCD = 124^{\circ }$

$m \angle ADB = ?$

Possible Answers:

$28^{\circ }$

$68^{\circ }$

$56^{\circ }$

$\textup{The question cannot be answered from the information given}$

$34^{\circ }$

Correct answer:

$28^{\circ }$

Explanation:

The rhombus referenced is below:

Rhombus

As a rhombus is a parallelogram, consecutive angles $\angle BCD$ and $\angle ADC$ are supplementary - that is,

$m \angle ADC + m \angle BCD = 180^{\circ }$ .

Set $m \angle BCD = 124^{\circ }$ and solve:

$m \angle ADC + 124^{\circ } = 180^{\circ }$

$m \angle ADC + 124^{\circ }- 124 ^{\circ } = 180^{\circ } - 124 ^{\circ }$

$m \angle ADC = 56 ^{\circ }$

A diagonal of a rhombus bisects the angles at its endpoints, so, specifically, $\overline{ BD}$ bisects $\angle ADC$ . Therefore,

$m \angle ADB = \frac{1}{2} m \angle ADC = \frac{1}{2} \cdot 56 ^{\circ } = 28^{\circ }$ .

Report an Error

View Tutors

Anne
Certified Tutor

University of Maryland-Baltimore, Doctor of Science, Accounting.

View Tutors

Satweka
Certified Tutor

The University of Texas at Dallas, Master of Science, Biomedical Engineering.

View Tutors

Tonja
Certified Tutor

McNeese State University, Bachelor in Arts, English.

All Intermediate Geometry Resources

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

Popular Subjects

ISEE Tutors in Miami, English Tutors in Washington DC, Computer Science Tutors in Washington DC, Spanish Tutors in Miami, ISEE Tutors in Philadelphia, SSAT Tutors in Dallas Fort Worth, GRE Tutors in Philadelphia, SAT Tutors in Philadelphia, Biology Tutors in Denver, Physics Tutors in Washington DC

Popular Courses & Classes

GMAT Courses & Classes in San Francisco-Bay Area, Spanish Courses & Classes in Chicago, Spanish Courses & Classes in New York City, ACT Courses & Classes in Houston, GRE Courses & Classes in Atlanta, ACT Courses & Classes in Boston, ISEE Courses & Classes in Boston, SAT Courses & Classes in Washington DC, ISEE Courses & Classes in New York City, Spanish Courses & Classes in Miami

Popular Test Prep

ACT Test Prep in Houston, LSAT Test Prep in Miami, GRE Test Prep in San Diego, MCAT Test Prep in Los Angeles, SAT Test Prep in Houston, SSAT Test Prep in Dallas Fort Worth, GMAT Test Prep in Boston, ACT Test Prep in Boston, MCAT Test Prep in San Francisco-Bay Area, GRE Test Prep in Boston

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 : How to find an angle in a rhombus

Study concepts, example questions & explanations for Intermediate Geometry

All Intermediate Geometry Resources

Example Questions

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

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

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

Example Question #2 : How To Find An Angle In A Rhombus

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

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

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

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

Example Question #9 : How To Find An Angle In A Rhombus

All Intermediate Geometry Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: