SOLUTION: An angle's measure is twice the measure of it's complement. The larger is how many degrees greater than the smaller angle? ............ And just so I don't have to write a whole ne

Question 493229: An angle's measure is twice the measure of it's complement. The larger is how many degrees greater than the smaller angle? ............ And just so I don't have to write a whole new mail, this is the only other one.......... The supplement of an angle is 36 degrees less than twice the supplement of the complement of the angle. Find the measure of the suplement?
Answer by cleomenius(959) (Show Source): You can put this solution on YOUR website!
x + 2x = 90 degrees.
3x = 90 degrees.
x = 30 degrees.
The angles are 30 degrees and 60 degrees.
Cleomenius.
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180 - x +36 = 2(180 - (90 - x))
180 - x +36 = 2(180 - 90 + x)
180 - x +36 = 2(90 + x )
180 - x +36 = 180 + 2x
216 - x = 180 + 2x
36 = 3x
12 = x
The supplement is 168 degrees.
The complement of the angle is 78 degrees.
The supplement of 78 degrees is 102 degrees.
Twice the supplement of the complement is 204.
204 - 36 = 168 degrees. This is the supplement of 12 degrees.
This does check,
Cleomenius.

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