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'

Question

Nonamiya [84]

3 years ago

14

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

Mathematics

1 answer:

astra-53 [7] · Answer 1 · 2021-11-13T14:32:13+03:00

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°