SOLUTION: The measure of the supplement of an angle is 50 less than 4 times the measure of the complement of the angle. Find the measure of the angle.

Algebra.Com
Question 475733: The measure of the supplement of an angle is 50 less than 4 times the measure of the complement of the angle. Find the measure of the angle.
Answer by cleomenius(959)   (Show Source): You can put this solution on YOUR website!
(180 -x) + 50 = 4(90 - x)
180 - x + 50 = 360 - 4x
230 - x = 360 - 4x
3x = 130
x = 43.3 degrees.
46.7 degrees = complement.
136.7 degrees = supplement.
46.7(4) = 186.8 - 50 = 136.8 (approx 136.7 degrees).
Cleomenius.

RELATED QUESTIONS

the measure of the supplement of an angle is 50 less than 4 times the measure of the... (answered by cleomenius)
The measure of the supplement of an angle is 60 less than three times the measure of the... (answered by Earlsdon)
The measure of the supplement of an angle is 30 less than four times the measure of the... (answered by drj)
The measure of the supplement of an angle is 60 less than three times the measure of the... (answered by edjones)
The measure of the supplement of an angle is 30 less than four times the measure of the... (answered by rfer)
the measure of the supplement of an angle is 60 less than 3 times the measure of the... (answered by cleomenius)
the measure of the supplement of an angle is 60 less than three times the measure of the... (answered by cleomenius)
The measure of the supplement of an angle is 60 less than three times the measure of the... (answered by josmiceli)
The measure of a supplement of an angle is 60 less than three times the measure of the... (answered by RAY100)