/*! 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} Q11 Find the value of x.... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 3: Q11 (page 96)

Find the value of x.

Short Answer

Expert verified

The value of x is 75.

Step by step solution

01

Step 1. Label the given diagram.

The labelled diagram is:

02

Step 2. Description of step.

From the diagram it can be noticed that the angles 鈭�ABEand 鈭�ABCforms the linear pair.

Therefore, the sum of the angles 鈭�ABEand 鈭�ABCis 180掳.

Therefore, it can be obtained that:

鈭�ABE+鈭�ABC=180掳140掳+鈭�ABC=180掳鈭�ABC=180掳鈭�140掳鈭�ABC=40掳

Therefore, the measure of the angle 鈭�ABCis 40掳.

03

Step 3. Find the value of x.

Now, by using the exterior angle theorem it can be noticed that:

鈭�ABC+鈭�BAC=鈭�ACD

Therefore, the value of x can be obtained as:

鈭�ABC+鈭�BAC=鈭�ACD40掳+35掳=x掳75掳=x掳鈬�75=x

Therefore, the value of x is 75.

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

A polygon has 102 sides. What is the interior angle sum? The exterior angle sum?

Find the values of x and y that make the red lines parallel and the blue lines parallel.

Explain how each corollary of Theorem 3-11 follows from the theorem

Corollary 4

Complete.

11. If the measure of each angle of a polygon is 174, then the measure of each exterior angle is?炉 and the polygon has?炉 sides.

Two lines that do not intersect are parallel.
See all solutions

Recommended explanations on Math Textbooks

Discrete Mathematics

Read Explanation

Decision Maths

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Applied Mathematics

Read Explanation

Mechanics Maths

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.