Question 779649: The measure of an angle is 10 more than the measure of its complement.Find the measure of each angle Answer by Anigor (1) (Show Source):
You can put this solution on YOUR website! Complementary angles have a sum of 90°
let x = measure of an angle
90-x = measure of its complement
x = (90-x) + 10
x = 100 - x
x + x = 100
2x = 100
2x/2 = 100/2 (divide both sides by 2 to isolate x)
x = 50° (MEASURE OF FIRST ANGLE)
90-x = ?
90-50 = 40° (substitute value of x which is 50 to get the COMPLEMENTARY ANGLE)
50° + 40° = 90°
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