SOLUTION: what is the measure and equation of an angle if its measure is twice that of its complement?

Algebra ->  Angles -> SOLUTION: what is the measure and equation of an angle if its measure is twice that of its complement?       Log On


   

Question 358326: what is the measure and equation of an angle if its measure is twice that of its complement?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi,

Let x be one of the angle, then it's complement would be x/2 

the equation:

x = 90 -x/2

solving for x

(3/2)x = 90

x = (2/3)90

x = 60 degrees   the measure of the angle asked for



checking our answer

Angle with measure of 60 degrees is twice the measure of its complement