The sum of three times an angle and twice its complement is 215. What are the measures of the angles?

**x = the angle**

90 - x = its complement{complementary angles add up to 90°}

90 - x = its complement

3x + 2(90 - x) = 215 {sum of three times the angle and its complement is 215}

3x + 180 - 2x = 215 {used distributive property}

x + 180 = 215 {combined like terms}

x = 35 {subtracted 180 from each side}

90 - x = 55 {substituted 35, in for x, into 90 - x}

**the angle is 35°**

its complement is 55°

its complement is 55°

*- Algebra House*