SOLUTION: An angle is 20 degrees less than its complement.Find its measure

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Question 906144: An angle is 20 degrees less than its complement.Find its measure
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
x = given angle
y = complement


x and y are complementary angles, so, x+y = 90

y = 90 - x

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"An angle is 20 degrees less than its complement" which means x = y - 20

x = y - 20

x = (90-x) - 20 ... plug in y = 90-x

x = 90-x-20

x = -x+70

x+x = 70

2x = 70

x = 70/2

x = 35

The angle is 35 degrees (the complement is 90-35 = 55 degrees)