Q. 134.4( 10 Votes )

Two supplementary angles are in the ratio 3:2 Find the angles.

Answer :

108°, 72°


Let angle = X


Supplementary of X = 180° – X


According to question,


X : 180° – X = 3 : 2


X / (180° – X) = 3 / 2


2X = 3(180° – X)


2X = 540° – 3X


2X + 3X = 54


5X = 54


X = 108°


Therefore angle = 108°


And its supplement = 180° – 108° = 72°


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