Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 3: Q11 (page 80)

If m∠1=xwhat are the measures of the other numbered angels?

Short Answer

Expert verified

Measures of numbered angles are

m∠2=180−x;m∠3=180−x;m∠4=x;m∠5=x;m∠6=180−x;m∠7=180−x;andm∠8=x

Step by step solution

01

Step 1. Observations from figure

  • Arrowheads are shown on lines Iand role="math" localid="1637747737259" P, so these lines are parallel
  • Line tis transversal to the parallel lines IandP
02

Step 2. Find m angle 2

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

m∠1+m∠2=180x+m∠2=180

m∠2=180−x

Thus,m∠2=180−x

03

Step 3. Find m angle 3

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

m∠3=m∠2

Thus,m∠3=180−x

04

Step 4. Find m angle 4

∠1and role="math" localid="1637748145577" ∠4are vertically opposite angles, so there values are equal

role="math" localid="1637748128121" m∠4=m∠1

Thus,role="math" localid="1637748117194" m∠4=x

05

Step 5. Find

Since, corresponding angles are equal

Pair of corresponding angles are

∠1−∠5,∠2−∠6,∠3−∠7,and∠4−∠8

Thus, measurement of these angles are

m∠5=x

m∠6=180−x

m∠7=180−x

m∠8=x

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

Exercises 23-29 refer to the diagram in step 2 of exercise 22.

.Name two planes parallel toAB¯.

Name the two lines and the transversal that form each pair of angles.

and

Classify each pair of angles as alternate interior, same side interior or corresponding angles

and

Classify each pair of angles as alternate interior angles, same-side interior angles, or corresponding angles.

and

Draw each figure described.

42. Lines I∥plane X, plane X∥plane Y, and I is not parallel to Y.
See all solutions

Recommended explanations on Math Textbooks

Decision Maths

Read Explanation

Probability and Statistics

Read Explanation

Mechanics Maths

Read Explanation

Calculus

Read Explanation

Discrete Mathematics

Read Explanation

Logic and Functions

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