   Chapter 2.4, Problem 25E Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem In Exercises 25 to 27 , see the figure for exercise 24 . Given: m ∠ 1 = x , m ∠ 2 = y , m ∠ 3 = 3 x Prove: x and y

To determine

To find:

The value of x and y.

Explanation

Given:

m1=x,

m2=y

And,

m3=3x

Figure (1)

Concept:

(1) Sum of acute angles in a right triangle is equal to 90°.

(2) Sum of linear pair of angles is equal to 180°.

Calculation:

Equate the sum of acute angles in a right triangle to 90°.

m1+m2=90°(1)

Substitute x for m1, and y for m2 in equation (1).

x+y=90°

Equate the sum of linear pair of angles to 180°

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