SOLUTION: The supplement of an angle is 60 degrees less than twice the supplement of the complement of the angle. Find the measure of the complement.

SOLUTION: The supplement of an angle is 60 degrees less than twice the supplement of the complement of the angle. Find the measure of the complement.

Algebra.Com

Question 99851: The supplement of an angle is 60 degrees less than twice the supplement of the complement of the angle. Find the measure of the complement.
Answer by BurningFlame_marc(77) (Show Source): You can put this solution on YOUR website!
Hello!

First let's represent, 180-x=supplement of the angle, 90-x= complement of a angle.
Equation:
180-x=2[180-(90-x)]-60

Solution:
180-x=2(180-90+x)-60
x=360-180+2x-60-180
-x=-60
x=60

Final Answer: The complement is 30
RELATED QUESTIONS
The supplement of an angle is 60 degrees less than twice the supplement of the complement (answered by ikleyn)

the supplement of an angle is 60 degrees less than twice the supplement of the complement (answered by josgarithmetic)

The supplement of an angle is 60 degrees less than twice the supplement of the complement (answered by nerdybill)

The supplement of an angle is 60 degrees less than the supplement of the complement. Find (answered by anjulasahay)

Twice the complement of an angle is 24 degrees less than its supplement. What is the... (answered by Alan3354)

The supplement of an angle is 36 degrees less than twice the angle. Find the... (answered by rfer)

Twice the complement of an angle is 26 degrees less than the supplement of the angle,... (answered by josgarithmetic)

The supplement of an angle is 122 degrees less than 3 times the supplement of the... (answered by ankor@dixie-net.com)

five times the complement of an angle less than twice the angles supplement is 30... (answered by ankor@dixie-net.com)