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Chapter 4: Q. 97 (page 405)

The difference of two

complementary angles is 17

degrees. Find the measures of the

angles.

Short Answer

Expert verified

The measures of angle are53.5and36.5

Step by step solution

01

Step 1. Given information

Two complementary angle xand ysuch that x+y=90.

02

Step 2. Creating the equation

The difference of the two complementary angles is 17 degrees.

therefore,

x-y=17

03

Step 3. Solve for y

Put the values of x=17+yinto

x+y=9017+y+y=902y=90-17y=732y=36.5

04

Step 4. Solve for x

Put the value of y=36.5into

x+y=90x+36.5=90x=53.5

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