Two angles are complementary. The larger angle is 10 more than 3 times the smaller angle. Find both angles.

Answer 1

Complementary angles add to 90 degrees

Let x = the small angle

Let 3x+10 = the large angle

Small angle + large angle = 90

x + 3x + 10 = 90 Subtract 10 from both sides and combine like terms

4x = 80 Divide both sides by 4

x=20

3x+10 = 3(20)+10 = 70

The smaller angle is 20 degrees, the larger angle is 70 degrees