Question

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

Answer 1

Let x and y be the two angles

They are supplement means x+y=180

∘

Now one angle is two third of another which

means x=2y/3

putting in to equation

3

2y

+y=180

∘

⇒

3

2y+3y

=180

∘

⇒5y=180×3

⇒y=

5

180×3

⇒y=108

y=108

x=

3

2y

=

3

2⋅108

=72

∴x=72 and y=108.

Step-by-step explanation:

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Answer 2

the angle will be equal to 120