Two angles are complementary recall the sum of complementary

Two angles are complementary (recall the sum of complementary angles is 90°). The larger angle is 10° more than three times the smaller angle.

Solution

smaller angle: x

larger angle: 10+3x

x+10+3x=90

4x=90-10

4x=80

x=80/4

x=20

Smaller angle is 20 degrees

larger angle: 10+3(20)= 70

larger angle is 70 degrees