An angle is 2 /3 of its supplement. Find the angle.
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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
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