   Chapter P.3, Problem 47E 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 the figure, m ∠ 1 = x and m ∠ 2 = y . If x - y = 24 ° , find x and y .(HINT: m ∠ 1 + m ∠ 2 = 180 ° . ) To determine

To find:

x and y for m1=x, m2=y and x-y=24°.

Explanation

Calculation:

Given,

m1=x,

m2=y and

x-y=24°(1)

In the above diagramABC is a straight angle, which is 180°.

Also the straight angle ABC is divided into two parts of angles by ABD and CBD.

Thus,

ABC=ABD+CBD

ABC=1+2

mABC=m=1+m2

180°=x+y

x+y=180°(2)

Now, add the equations (1) and (2) together

x-y+x+y=24°+180

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