SOLUTION: A supplement of an angle is 3 times a complement of the angle. What are the measures of the angle, supplement and the complement?

Question 985199: A supplement of an angle is 3 times a complement of the angle. What are the measures of the angle, supplement and the complement?
Answer by srinivas.g(540) (Show Source): You can put this solution on YOUR website!
let x be the angle
if sum of two angles is 90 , then those are termed as complimentary angles
let y be the complementary angle
x+y =90
y=90-x
if sum of two angles is 180 , then those are termed as sumplementary angles
let z be the supplementary angle
x+z =90
z=180-x
A supplement of an angle is 3 times a complement of the angle
z=3*y
(180-x)=3(90-x)
180-x=270-3x
move -3x to the left
180-x+3x=270
180+2x=270
2x=270-180
2x=90
x=90/2
x=45
angle (x)= 45 degrees
supplement angle = 180-45
=135 degrees
compliment angle =90-45
=45 degrees

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