/*! 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} Q10 If m鈭�1=130聽what are the measu... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 3: Q10 (page 80)

If m鈭�1=130what are the measures of the other numbered angels?

Short Answer

Expert verified

Measures of numbered angles are

m鈭�2=50;m鈭�3=50;m鈭�4=130;m鈭�5=130;m鈭�6=50;m鈭�7=50;andm鈭�8=130

Step by step solution

01

Step 1. Observations from figure

  • Arrowheads are shown on lines Iand P, so these lines are parallel
  • Line tis transversal to the parallel lines IandP
02

Step 2. Find m angle 2

鈭�1and 鈭�2forms linear pair, so sum of these angles is 180

m鈭�1+m鈭�2=180130+m鈭�2=180

m鈭�2=180鈭�130

03

Step 3. Find m angle 3

鈭�2 and 鈭�3are vertically opposite angles, so there values are equal

m鈭�3=m鈭�2

Thus,m鈭�3=50

04

Step 4. Find m angle 4

鈭�1and 鈭�4are vertically opposite angles, so there values are equal

m鈭�4=m鈭�1

Thus,m鈭�4=130

05

Step 5. Find m angle 5, m angle 6, m angle 7, and m angle 8

Since, corresponding angles are equal

Pair of corresponding angles are

鈭�1鈭�鈭�5,鈭�2鈭�鈭�6,鈭�3鈭�鈭�7,and鈭�4鈭�鈭�8

Thus, measurement of these angles are

m鈭�5=130m鈭�6=50m鈭�7=50m鈭�8=130

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

Complete the table for regular polygons.

In each exercise some information is given. Use this information to name the segments that must be parallel. If there are no such segments, write none.

Given: GKbisects鈭�JGI

m鈭�H=m鈭�1

Prove: GK鈭�HI

State which segments (if any) are parallel. State the postulate or theorem that justifies your answer.

If ED炉AC炉and EB炉DC炉, name all pairs of angles that must be congruent.
See all solutions

Recommended explanations on Math Textbooks

Applied Mathematics

Read Explanation

Pure Maths

Read Explanation

Geometry

Read Explanation

Decision Maths

Read Explanation

Logic and Functions

Read Explanation

Probability and Statistics

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.