Question

The measure of an angle is 12 less than twice the measure of its supplement. What is the measure of the angle?

Answer 1

Answer:

Therefore, the measure of the angle = 116°.

Step-by-step explanation:

Let us assume that the angle is x.

The sum of two supplementary angles is 180 degrees.

Thus, supplement angle = 180 - x.

Given,

The measure of an angle is 12 less than twice the measure of its supplement.

x = 2(180 - x) - 12

=> x = 360 - 2x - 12

=> x + 2x = 348

=> 3x = 348

=> x = 116

Therefore, the measure of the angle = 116°.

Hope it helps!

Answer 2

Answer:

let an angle be x and other angle is 2x-12 now

after adding both we get 180 degree

so 3x-12= 180

3x= 180+12

x=192

x=64

so one angle is 56 and other angle is 180-64=116