SOLUTION: The measure of angle A is three times the measure of angle B, and the measure of angle B is three times the measure for angle C. If angle A.and angle C.are complementary, find the
Algebra ->
Angles
-> SOLUTION: The measure of angle A is three times the measure of angle B, and the measure of angle B is three times the measure for angle C. If angle A.and angle C.are complementary, find the
Log On
Question 242810: The measure of angle A is three times the measure of angle B, and the measure of angle B is three times the measure for angle C. If angle A.and angle C.are complementary, find the measure of angle B. Answer by oberobic(2304) (Show Source):
You can put this solution on YOUR website! We are told several things needed for the setup for the solution.
A = 3 times B
A = 3B
B = 3 times C
B = 3C
Therefore, A = 9C
A + C = 90 degrees because they are complementary.
Substituting for A = 9C
9C + C = 90
10C = 90
Dividing by 10
C = 9
Substituting
A = 9C = 9(9) = 81
But what is the question?
What is B?
B = 3C
C = 9
B = 27
Checking our work.
A = 3B = 3(27)??
Yes, 3*27 = 81= A.
(