/*! 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} Q.22 For the trapezoid shown, the rat... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 10: Q.22 (page 545)

For the trapezoid shown, the ratio m鈭�A:m鈭�C is2:1. Write and solve an equation to find the value of x.

Short Answer

Expert verified

The value of x is60掳.

Step by step solution

01

Step 1. Given Information.

The ratio m鈭�A:m鈭�C is2:1. The figure is shown below.

02

Step 2. Concept Used.

Angle sum property of quadrilateral.

鈭�A+鈭�B+鈭�C+鈭�D=360掳

03

Step 3. Calculation.

From the figure,

鈭�D=鈭�C鈭�A=鈭�B

鈭�C=x掳

And,

鈭�A:鈭�C=2:1

So,

鈭�A=2x掳鈭�B=2x掳

According to angle sum properties of quadrilateral,

鈭�A+鈭�B+鈭�D+鈭�C=360掳

Substituting the value of angles,

2x+2x+x+x=360掳6x=360掳x=60掳

04

Step 4. Conclusion.

The value of x is60掳.

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

Find the area of the parallelogram or trapezoid.

Solve the equation.

15=2x-7

Classify the quadrilateral.

Use the figure shown to find m鈭�WXY and m鈭�XYZ. Explain your reasoning.

The ratio of the angle of a triangle is2:3:7. Find the angle measures. Then classify the triangle by its angle measures.
See all solutions

Recommended explanations on Math Textbooks

Mechanics Maths

Read Explanation

Calculus

Read Explanation

Logic and Functions

Read Explanation

Probability and Statistics

Read Explanation

Applied Mathematics

Read Explanation

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.