Question

The measure of the supplement of an angle is 12 more than twice the measure of the angle. Find the measures of the angle and it's supplement

Answer 1

Supplementary angles add up to 180 degrees-

Let x = "the angle"

supplement angle = 2x + 12 // 12 more than twice the measurement of "the angle"

Supplement angle + "the angle" = 180 degrees

(2x + 12) + x = 180 degrees // 2x + 12 is the supplement angle

3x + 12 = 180 //  Simplify

3x = 168 // Subtract 12 from both sides

x =  56 degrees // Divide both sides by 3

The measure of the angle is 56° and its supplement is 124°