Question

Find the magnitude of an angle which is 2/3 of its supplement

Answer 1

Let angle be x Its supplement vl be 90-x According to Q's X=2/3(90-x) 3x=2(90-x) 3x= 180-2x 5x= 180 X= 36

Answer 2

Answer:

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 question

⇒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°