Question

The measure of an angle is seventy-four times the measure of its supplementary angle. What is the measure of each angle?

Answer 1

`x =` measure of the angle

`180 - x` measure of supplement {supplementary angles add up to 180}

`x = 74(180 - x)` {measure of the angle is 174 times the supplement}

`x = 13,320 - 74x` {used distributive property}

`75x = 13,320` {added 74x to each side}

`x = 177.6` {divided each side by 177.6}

the angle is 177.6

the supplement is 2.4