0

# angle A and angle B are supplementary. The measure of angle B is equal to four times the complement of Angle A. What is the measure of Angle A?

Finding measure of an angle when two angles are described in word problem.  Angles are supplementary.

angle A and angle B are supplementary. The measure of angle B is equal to four times the complement of Angle A. What is the measure of Angle A?

### 2 Answers by Expert Tutors

Shelly J. | Excellent Maths Tutoring for academic successExcellent Maths Tutoring for academic su...
5.0 5.0 (248 lesson ratings) (248)
0
Hi Tiffany,

Angle A and angle B are supplementary

A+B=180°   Equation 1

The measure of angle B is equal to four times the complement of angle A

The complement of angle A=90°-A

B=4(90°-A)

B=360°-4A

Substitute the value of B in equation 1

A+360°-4A=180°

-3A=-180°

A=60°

The measure of angle A=60°

B=360°-4A=360°-4(60°)=120°

The measure of angle B=120°

THank you so much for the help!
Steve S. | Tutoring in Precalculus, Trig, and Differential CalculusTutoring in Precalculus, Trig, and Diffe...
5.0 5.0 (3 lesson ratings) (3)
0
Angle A and angle B are supplementary. The measure of angle B is equal to four times the complement of Angle A. What is the measure of Angle A?

A + B = 180°

B = 4(90°-A)

4A + B = 360°
–A – B = –180°
–––––––––––––
3A = 180°

A = 60°