SOLUTION: the measure of angle B, the complement of angle A, is one-sixth the measure of angle C, the supplement of angle A. What are the measures of each of the three angles?

Algebra ->  Angles -> SOLUTION: the measure of angle B, the complement of angle A, is one-sixth the measure of angle C, the supplement of angle A. What are the measures of each of the three angles?      Log On


   

Question 360085: the measure of angle B, the complement of angle A, is one-sixth the measure of angle C, the supplement of angle A. What are the measures of each of the three angles?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi,

Let x represent angle A

B = (90-x)

C= (180-x)

write as we read***

B = C/6

(90-x) = (180-x)/6

solve for x

6(90-x) = 180 -x

540 - 6x = 180 -x

360 = 5x

72 = x

A= 72degrees,  B= 18degrees and C= 108degrees

checking our answer

18degrees = 108degrees/6