Question

Find the measure of an angle which is 2/3 of its supplement
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Answer 1

Step-by-step explanation:

Let the first angle be `x`

Then the other angle will be 2/3 of x = 2x/3

According to the Q

⇒x + 2x/3 = 180    [supplementary]

⇒(3x+2x)/3 = 180

⇒5x = 180 ×3

⇒x = 540/5

∴x= 108°

∴The required angle = 2x/3

                                = 2(108)/3  

                                = 216/3

                                = 72°

Answer 2

Answer:

72 degrees

Step-by-step explanation:

Let the angle be X. Its supplimentary angle is (180-X)

As the angle is 2/3 rd of it's suppliment, we can write

X= 2/3 x (180-X)

3X= 360-2x

5x=360

Thus, x=72