SOLUTION: When angles are complementary the sum of their measures is 90 degrees two complementary angles have measure of 2x - 10 degrees and 3x -10 degrees find the measures of each angle

Question 1160484: When angles are complementary the sum of their measures is 90 degrees two complementary angles have measure of 2x - 10 degrees and 3x -10 degrees find the measures of each angle
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
if the angles are complementary, then their sum is 90 degrees
(2x - 10) + (3x - 10) = 90
simplify to get:
2x - 10 + 3x - 10 = 90
combine like terms to get:
5x - 20 = 90
add 20 to both sides of the equation to get:
5x = 110
solve for x to get:
x = 110 / 5 = 22 degrees.
2x - 10 = 44 - 10 = 34 degrees.
3x - 10 = 66 - 10 = 56 degrees.
34 + 56 = 90 degrees.
the angles are 34 and 56 degrees and they are complementary.

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