SOLUTION: An angle measures 16° less than the measure of its complementary angle. What is the measure of each angle?

Algebra ->  Angles -> SOLUTION: An angle measures 16° less than the measure of its complementary angle. What is the measure of each angle?       Log On


   

Question 1169359: An angle measures 16° less than the measure of its complementary angle. What is the measure of each angle?
Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = "the angle"
...then 90-x is the complementary angle


x = (90-x)-16
2x = 74
x = 37 --> 90-x = 53


The angle is 37 degrees
The complement is 53 degrees

Check
37 = 53-16 (ok)