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Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

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BuyFindarrow_forward

Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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In Exercises 19 to 26, use the drawing in which A C intersects D B at point O.

If m 1 = x + 20 and m 4 = x 3 , find x and m 4 .

Chapter 1.7, Problem 26E, In Exercises 19 to 26, use the drawing in which AC intersects DBat point O. If m1=x+20 and m4=x3,

To determine

To find:

The value of x and m4.

Explanation

Given:

The given angles are m1=x+20 and m4=x3.

The given figure is,

Definition:

The sum of measures of angles formed on straight line is supplementary angle.

Calculation:

From the given figure it can be observed that 1 and 4 are supplementary angles.

m1+m4=180°

Substitute x+20 for m1 and x3 for m4 in above equation.

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