Question

An angle is 2/3 of its supplement. What is its magnitude​

Answer 1

Answer:

Given

x+y=180

y= 2/3 × x so your answer is.......

x+ 2x/3=180

(3x+2x)/3= 180

5x/3= 180

5x = 540

x = 108 is the answer

y= 180-108 = 72

so angles are 72 and 108

Hope it helps you

Step-by-step explanation:

Answer 2

Let the required angle be x

Then,its supplement=(180-x)

Now,According to question----

=>x=2/3(180-x)

=>x= 2/3×180-2/3×x

=>x=120-2/3x

=>x+2/3x=120

=>5x/3=120

=>5x=120×3

=>5x=360

=>x=360/5

=>x=72

Thus,the required angle is 72°