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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 2 = x 2 10 and m 3 = x 3 + 40 , find x and m 2 .

Chapter 1.7, Problem 25E, In Exercises 19 to 26, use the drawing in which AC intersects DBat point O. If m2=x210 and m3=x3+40,

To determine

To find:

The value of x and m2.

Explanation

Given:

The given angles are m2=x210 and m3=x3+40.

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 2 and 3 are supplementary angles.

m2+m3=180°

Substitute x210 for m2 and x3+40 for m3 in above equation.

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