SOLUTION: What is the answer to: the supplement of an angle is 18 less than 4 times the compliment of the angle. Find the measure of the angle

Question 778361: What is the answer to: the supplement of an angle is 18 less than 4 times the compliment of the angle. Find the measure of the angle
Found 2 solutions by negative49, MathTherapy:
Answer by negative49(13) (Show Source): You can put this solution on YOUR website!
x = angle
complement of the angle = 90 - x
supplement of the angle = 180 - x
supplement of the angle is 18 less than 4 times the complement of the angle:
(180 - x) - 18 = (90 - x) ( 4)
.
162 - x = 360 - 4x
Combine the like terms
162 - 360 = -4x + x
-198 = - 3x
66 = x
Proof:
complement of the angle = 90 - 66 = 24
supplement of the angle = 180 - 66 = 114
114 - 18 = (24)(4)
96 = 96
Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!

What is the answer to: the supplement of an angle is 18 less than 4 times the compliment of the angle. Find the measure of the angle

Angle =

You can do the check!!

Further help is available, online or in-person, for a fee, obviously. Send comments, �thank-yous,� and inquiries to �D� at MathMadEzy@aol.com

RELATED QUESTIONS
The measure of the supplement of an angle is 94 less than 5 times the compliment find the (answered by solver91311)
the measure of the supplement of an angle is 30 degrees less than 5 times the measure of... (answered by stanbon)
Find the measure of an angle whose supplement is 4 times the measure of its compliment (answered by ikleyn,Alan3354)
The supplement of an angle is 10 more than 5 times the compliment. What is the measure of (answered by nyc_function)
the supplement of an angle is 36 degrees less than twice the supplement of the compliment (answered by alicealc)
The supplement of an angle is 10 degrees less than 3 times its compliment. Find the... (answered by addingup)
an angle is it's own compliment. Find the measure of a supplement to this... (answered by stanbon)
FIND THE MEASURE OF AN ANGLE WHOSE SUPPLEMENT IS 6 TIMES ITS... (answered by rfer)
The supplement of an angle is 12 more than 3 times its compliment. The angle measure is... (answered by TimothyLamb)