Twice the supplement of an angle is 76 degrees more than four times its complement.

What is the measurement of the angle?

What is the measurement of the angle?

x = angle

Complementary angles add up to 90

Supplementary angles add up to 180

Complement of angle = 90 - x

Supplement of angle = 180 - x

2(180 - x) = 4(90 - x) + 76 {twice supplement is 76 more than 4 times complement}

360 - 2x = 360 - 4x + 76 {used distributive property}

360 - 2x = -4x + 436 {combined like terms}

-2x = -4x + 76 {subtracted 360 from both sides}

2x = 76 {added 4x to both sides}

x = 38 {divided both sides by 2}

the angle is 38°

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