Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 3: Q8 (page 97)

Complete.

If m∠6=x, m∠7=x-20and m∠11=80then x=?

Short Answer

Expert verified

If m∠6=x,m∠7=x−20 and m∠11=80 then the value of x is b.

Step by step solution

01

Step 1. Observe the given figure and highlight angle 6, angle 7 and angle 11.

02

Step 2. Apply exterior angle theorem.

The measure of an exterior angle of a triangle is equal to the sum measures of two remote interior angles of a triangle.

03

Step 3. Description of step.

From the given figure, it can be observed that ∠11is exterior angle and ∠6and ∠7are remote interior angles. Therefore, the sum of measures of ∠6and ∠7is equal to measure of ∠11, that is,

m∠6+m∠7=m∠11x+x−20=802x=100

04

Step 4. Description of step.

Divide each side of the equation obtained in step 3 by 2 to find the value of x.

2x2=1002x=50

Therefore, the value of x is 50.

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

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

or corresponding angles

and

Find the values xof yand

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

and

State the postulate or theorem that justifies each statement.

∠3≅∠6

Copy what is shown for Theorem 3-3 on page 79. Then write a proof in two-column form.
See all solutions

Recommended explanations on Math Textbooks

Pure Maths

Read Explanation

Calculus

Read Explanation

Applied Mathematics

Read Explanation

Statistics

Read Explanation

Mechanics Maths

Read Explanation

Theoretical and Mathematical Physics

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