Complement of an angle

Find the measure of an angle if its measure is 26° more than three times its complement. 

---

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

x = 3(90 - x) + 26 {the angle is equal to 26 more than three times its complement}
x = 270 - 3x + 26 {used distributive property}
x = -3x + 296 {combined like terms}
4x = 296 {added 3x to each side}
x = 74 {divided each side by 4} 

The angle is 74°


- Algebra House