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