SOLUTION: The measure of the supplement of an angle is 32degrees greater than twice the measure of its complement. Find the measure of the angle.

Question 334980: The measure of the supplement of an angle is 32degrees greater than twice the measure of its complement. Find the measure of the angle.
Answer by jrfrunner(365) (Show Source): You can put this solution on YOUR website!
let x=an angle
complement of an angle =90-x, the supplement of an angle =180-x
---
the supplement of an angle is 32degrees greater than twice the measure of its complement
This means supplement=32+2*complement
or 180-x=32+2*(90-x)
180-x=32+180-2x
2x+180-x=32+180 (add 2x to both sides)
2x-x=32 (cancel 180 from both sides)
x=32
-----
check your answer of x=32
go back to the original equation 180-x=32+2*(90-x), subtitute x=32 and see if you get a true statement.
left side : 180-x=180-32=148
right side: 32+2*(90-x)=32+2*(90-32)=32+2*58=32+116=148
so... X=32 makes both sides equal, therefore checked
RELATED QUESTIONS
If an angle is acute, then the measure of its complement must be greater than the measure (answered by josmiceli,stanbon)

find the measure of an angle if the measure of its supplement is 4 degrees more than... (answered by Fombitz)

An angle's measure is 22 greater than its complement. Find the measure of the... (answered by TimothyLamb)

THE MEASURE OF AN ANGLE IS 28 DEGREES GREATER THAN IT'S COMPLEMENT. FIND THE MEASURE OF... (answered by rfer)

Find the measure of an angle whose supplement measures 39 degrees more than twice its... (answered by malakumar_kos@yahoo.com)

Find the measure of an angle whose supplement measures 43 degrees more than twice its... (answered by mananth)

The supplement of an angle is 4 more than twice its complement. Find the measure of the... (answered by scott8148)

The supplement of an angle is 4 more than twice its complement. Find the measure of the... (answered by stanbon)

The supplement of an angle is 4 more than twice its complement. Find the measure of the... (answered by RAY100)