SOLUTION: Two complementary angles are represented by expressions 3x+5 and 2x+10. Find the measures of both angles

Question 671994: Two complementary angles are represented by expressions 3x+5 and 2x+10. Find the measures of both angles
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
Two complementary angles are represented by expressions 3x+5 and 2x+10. Find the measures of both angles
.
If two angles are complementary, then the sum is 90 degrees so we have:
(3x+5) + (2x+10) = 90
5x+15 = 90
5x = 75
x = 15
.
measure of one angle then is:
3x+5 = 3(15)+5 = 45+5 = 50 degrees
.
measure of second angle then is:
2x+10 = 2(15)+10 = 30+10 = 40 degrees

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