/*! 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. In the diagram above聽r鈭.聽So... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 3: Q7. (page 111)

In the diagram abover鈭�s.

Solve for y:m鈭�3=8y-40 andm鈭�8=2y+20.

Short Answer

Expert verified

The value ofy is 20.

Step by step solution

01

Step 1. Highlight ∠3 and ∠8 in the given diagram.

02

Step 2. Apply the property of parallel lines.

If two parallel lines are intersected by a transversal then the same side interior angles are supplementary.

03

Step 3. Description of step.

From the given figure it can be observed thatr鈭�s andt is transversal then by the definition of same side interior angles,鈭�3 and鈭�8 are same side interior angles and by property of parallel lines, m鈭�3+m鈭�8=180.

04

Step 4. Description of step.

Substitute 8y鈭�40for m鈭�3and 2y+20form鈭�8 intom鈭�3+m鈭�8=180 and simplify to obtain the value of y.

8y鈭�40+2y+20=18010y鈭�20=18010y=200y=20

Therefore, the value ofy is 20.

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 each statement with the word always, sometimes, or never.

Two lines that are not coplanar intersect.

Complete each statement with the word always, sometimes, or never.

Two lines parallel to the same plane are ?parallel to each other.

Assume that a鈭�band c鈭�d, name all angels congruent to 鈭�2.

If m鈭�4=2m鈭�3find m鈭�6

Classify each pair of angles as alternate interior angles, same-side interior angles, corresponding angles, or none of these.

and

See all solutions

Recommended explanations on Math Textbooks

Decision Maths

Read Explanation

Logic and Functions

Read Explanation

Calculus

Read Explanation

Mechanics Maths

Read Explanation

Statistics

Read Explanation

Pure Maths

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.