SOLUTION: The measure of an angle is eight times the measure of a complementary angle. What is the measure of each angle?

Algebra ->  Angles -> SOLUTION: The measure of an angle is eight times the measure of a complementary angle. What is the measure of each angle?       Log On


   

Question 867036: The measure of an angle is eight times the measure of a complementary angle. What is the measure of each angle?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

Let x represent the larger angle     

x = 8(90°-x)

x = 720 - 8x

9x = 720°

 x = 80° and it's complement is 10°

and...checking

 80° = 8*10°