/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q7. If 螖DEF鈮呂擱ST,聽m鈭燚=100聽an... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 4: Q7. (page 120)

If 螖DEF鈮�螖RST,m鈭�D=100and m鈭�F=40. Name four congruent angles.

Short Answer

Expert verified

The four congruent angles are m鈭�R=100,鈥�m鈭�E=40,鈥�m鈭�S=40鈥夆赌�and鈥夆赌�m鈭�T=40鈥夆赌�.

Step by step solution

01

Step 1. Apply the concept of congruent triangles.

For the congruent triangles their corresponding sides and angles are equal.

02

Step 2. Step description.

Consider that 螖DEF鈮�螖RST, m鈭�D=100and m鈭�F=40.

In 螖DEF, m鈭�D=100and m鈭�F=40.

Therefore, from angle sum property

m鈭�E=180鈭�100+40=180鈭�140=40

Therefore 螖DEF鈮�螖RST

03

Step 3. Step description.

As the congruent triangles their corresponding sides and angles are equal. Thus D鈫�R, E鈫�S, F鈫�T.

Therefore, the four congruent angles are as follows

m鈭�R=100,鈥�m鈭�E=40,鈥�m鈭�S=40鈥夆赌�and鈥夆赌�m鈭�T=40鈥夆赌�

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.

Over 30 million students worldwide already upgrade their learning with 91影视!

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

Draw an isosceles triangle and then join the midpoints of its sides to form another triangle. What can you deduce about this second triangle? Explain.

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

Suppose you are given a scalene triangle and a point Pon some line localid="1648799479069" l. How many triangles are there with one vertex at localid="1648799462577" P, another vertex on localid="1648799472074" l, and each triangle congruent to the given triangle?

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

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

Recommended explanations on Math Textbooks

Pure Maths

Read Explanation

Mechanics Maths

Read Explanation

Decision Maths

Read Explanation

Applied Mathematics

Read Explanation

Statistics

Read Explanation

Calculus

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.