Question

The measure of an angle is 30 degree less than its supplement.find the measure of the angle

Answer 1

let 1 angle be x
and other be x-30
x+x-30=180
2x-30=180
2x=210
x=210/2
x=105
one angle is 105
then other is 105-30=75

Answer 2

Answer:

measure of the angle is 75°

Step-by-step explanation:

Let the measure of the angle is x.

Two angle are supplement if they adds to 180 degrees.

Therefore, the supplement of the angle x is (180-x)

Now, it has been given that measure of an angle is 30 degree less than its supplement.

Thus, we have

x = 180 - x - 30

Solve the equation for x

2x = 150

x = 75°

Therefore, the measure of the angle is 75°