Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 4: Q14. (page 119)

The pentagons shown are congruent. Complete.

?¯=m∠E

Short Answer

Expert verified

m∠C=m∠E

Step by step solution

01

Step 1. Observe the given diagram.

The given diagram is:

02

Step 2. Description of step.

The given pentagons are congruent.

Therefore, corresponding angles and corresponding sides of pentagons will be equal.

03

Step 3. Write the conclusion.

From the given diagram it can be noticed that the corresponding angles for the angles B,L,A,Cand Kare the angles R,O,H,Eand Srespectively. Therefore, the corresponding angle for the angle Eis the anglerole="math" localid="1638190740694" C.

Therefore, the measures of the angle Eis equal to measure of angle C.

Therefore, m∠C=m∠E.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Name the coordinates of a point G such that Is there another location for G such that

ART

Decide whether you can deduce by the SSS, SAS, or ASA postulate that another triangle is congruent to ΔABC. If so, write the congruence and name the postulate used. If not, write no congruence can be deduced.

Is the following statement “Corresponding parts of congruent triangles are congruent” based on a definition, postulate, or theorem?

Decide whether you can deduce by the SSS, SAS, or ASA postulate that another triangle is congruent to ΔABC. If so, write the congruence and name the postulate used. If not, write no congruence can be deduced.

For the following figure, can the triangle be proved congruent? If so, what postulate can be used?
See all solutions

Recommended explanations on Math Textbooks

Statistics

Read Explanation

Probability and Statistics

Read Explanation

Pure Maths

Read Explanation

Mechanics Maths

Read Explanation

Applied Mathematics

Read Explanation

Geometry

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free