SOLUTION: Help mark solve the following homework problem in geometry: two angles are complementary and one angle is 36 degrees more than twice the other.Find the measure of each angle.

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Question 187795: Help mark solve the following homework problem in geometry: two angles are complementary and one angle is 36 degrees more than twice the other.Find the measure of each angle.
Found 2 solutions by nerdybill, mgmoeab:
Answer by nerdybill(7384) (Show Source):
You can put this solution on YOUR website!
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The sum of two complementary angles equals 90 degrees.
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Let x = measure of one of two complementary angles
then
2x+36 = measure of second angle
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x + 2x+36 = 90
3x+36 = 90
3x = 54
x = 18 degrees
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second angle:
2x+36 = 2(18)+36 = 36+36 = 72 degrees
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The two angles are:
18 degrees and 72 degrees

Answer by mgmoeab(37) (Show Source):
You can put this solution on YOUR website!
The two angles are complementary.. that means their sum is equal to 90 degrees.
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If you choose "X" to be one of the unknown angles, and you are told that one angle is 36 degrees more than twice the other, you can write this as:
(36 + 2x) + x = 90
36 + (2x + x) = 90 (Group like terms)
36 + 3x = 90
3x = 90-36
3x = 54
x = 18 (This is your first angle)
If you subtract 90-18 = 72 (This is your second angle)
Then the angles are 18 and 72!
Hope it helps!