   Chapter 1.7, Problem 24E ### Elementary Geometry for College St...

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

#### Solutions

Chapter
Section ### Elementary Geometry for College St...

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

# In Exercises 19 to 26, use the drawing in which A C ↔ intersects D B ↔ at point O.If m ∠ 2 = x + 15 and m ∠ 3 = 2 x , find x and m ∠ 2 . To determine

To find:

The value of x and m2.

Explanation

Given:

The given angles are m2=x+15 and m3=2x.

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 x+15 for m2 and 2x for m3 in above equation.

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