SOLUTION: if the measure of an angle exceeds the measure of its compliment by 20, what is the measure of the angle?

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Question 253301: if the measure of an angle exceeds the measure of its compliment by 20, what is the measure of the angle?
Found 3 solutions by richwmiller, JimboP1977, Earlsdon:
Answer by richwmiller(17219)   (Show Source):
You can put this solution on YOUR website!
They are just trying to confuse you with this fancy talk of exceed which just means it is more than.
The key question is what is the complement?
Complementary angles add up to 90.
so we have
x=y+20
x-y=20
x+y=90
add the last two equations
2x=110
x=55
y=90-55=35
check
35+55=90
55-35=20
ok

Answer by JimboP1977(311)   (Show Source):
You can put this solution on YOUR website!
90 degrees minus the angle = complement of the angle.
Angle-20=Complement.
so 90-Angle=Angle-20
90=2*Angle-20
110=2*Angle
55=Angle.

Answer by Earlsdon(6294)   (Show Source):
You can put this solution on YOUR website!
Let A be the angle, so its complement would be (90-A), and 20 more than that would be (90-A)+20.
So we can write an equation to find A.
A = (90-A)+20 Simplify.
A = 110-A Add A to both sides.
2A = 110 Divide both sides by 2.
A = 55
The measure of the angle is 55 degrees.