if an angle is 4 times its complement. what is the measure of the angle

Asked by omsingh | 1st Jun, 2015, 07:01: PM

Expert Answer:

The two angles are complementary angles, hence their sum is 90 degrees.
 
The one angle is 4 times its complement.     (given)
 
Then, if the complementary angle is x, then the other angle will be 4x.
 
Thus, we have
 
x + 4x = 90
 
5x = 90
 
x = 18
 
4x = 72
 
Thus, the measures of two angles are 18 and 72.

Answered by Rashmi Khot | 2nd Jun, 2015, 09:25: AM