SOLUTION: The measure of the angle is 20° greater than its complement what is the measure of the complement?

Question 1182859: The measure of the angle is 20° greater than its complement what is the measure of the complement?
Found 3 solutions by ikleyn, greenestamps, MathTherapy:
Answer by ikleyn(52858)   (Show Source): You can put this solution on YOUR website!
.

Let the angle be x degrees; then the complement angle is 90-x degrees, and your equation to find x is x - (90-x) = 20 degrees. Simplify and find x 2x - 90 = 20 2x = 20 + 90 = 110 x = 110/2 = 55 degrees. ANSWER

Solved and explained.

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Answer by greenestamps(13203)   (Show Source): You can put this solution on YOUR website!

The angle measure is 20 degrees more than the complement. So let the complement be x; then the measure of the angle is x+20.

Since the angles are complementary, the sum of their measures is 90 degrees.

ANSWER: The measure of the complement is x=35 degrees.

Answer by MathTherapy(10556)   (Show Source): You can put this solution on YOUR website!

The measure of the angle is 20° greater than its complement what is the measure of the complement?

Let angle's complement be C
Then angle is: 90 - C
With the angle being 20° greater than the complement, we get: 90 - C = C + 20
- C - C = 20 - 90
- 2C = - 70
Angle's complement, or
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