Question

Angles A & B are supplementary. The measure of angle B is 5 more than 4 times the measure of angle A. What is the measure of each angle.

Answer 1

A+B=180
B=4A+5

use the method of substitution...

A+(4A+5)=180

A+4A+5=180(arrange the numbers)

A+4A=180-5
5A=175

5A/5= 175/5
A=35 ( substitute this to equation B)

B=4(35)+5
B=140+5
B=145

Therefore, the measure of angle A is 35 and the angle B is 145.