SOLUTION: How many degrees are there in an angle that measures 25 degree more than the measure of its complement? The measure of the supplement of an angle is 45 degree less than four tim

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Question 238417: How many degrees are there in an angle that measures 25 degree more than the measure of its complement?
The measure of the supplement of an angle is 45 degree less than four times the measure of the angle. Find the measure of the angle and its supplement.
Answer by anantha(86) About Me  (Show Source):
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sol:
let the angle be x
its complement angle=90-x
according to the problem
x=25+(90-x)
90-x transpose to L.H.S side
x-(90-x)=25
x-90+x=25
2x-90=25
adding 90 on both sides
2x-90+90=25+90
2x=115
dividing by 2 on both sides
2x/2=115/2
x=57.5
sol:
let the angle be x
supplement of angle=180-x
four times the measure of the angle=4x
according to the problem
supplement of angle=four times measure of angle-45
180-x=4x-45
transpose 45 on L.H.S side and x on R.H.S side
180+45=4x+x
225=5x
dividing both sides by 5
225/5=5x/5
45=x
supplement of angle=180-45=135