   Chapter 1.CR, Problem 25CR ### 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

# Given: m ∠ 3 = 7 x − 21 m ∠ 4 = 3 x + 7 Find: m ∠ F M H To determine

To find:

The value of mFMH.

Explanation

Given:

m3=7x21

And,

m4=3x+7

The Figure (1) is given as,

Figure (1)

Definition:

The pair of nonadjacent angles in the opposite direction that lie on two intersecting straight lines is called vertical angles.

Calculation:

Since, 3 and 4 are the vertical angles, then it can be written as,

m3=m4(1)

Substitute 7x21 for m3 and 3x+7 for m4 in equation (1).

7x21=3x+77x3x=21+74x=28x=7

The m3 can be calculated as,

m3=7x21

Substitute 7 for x in the above expression

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