Find the angles which is 2/3 of its supplement.
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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
2y/3+y=180
⇒ (2y+3y)/3 =180
⇒5y=180×3
⇒y= 180×3÷5
⇒y=108
x= 2y/3= 2⋅108/3 =72
∴x=72 and y=108.
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