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}

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*