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

Let the two supplementary angles be Angle A and Angle B.

Ratio of Angle A's share to B's share = 2:3

Sum of ratio terms = 2 + 3 = 5

Angle A's share = 2/5 x180^o [SUM OF SUPPLEMENTARY ANGLES]

= 2 X 36^o

= 72^o

Angle B's share = 3/5 x 180^o [SUM OF SUPPLEMENTARY ANGLES]

= 3 x 36^o

= 108^o

THEREFORE THE TWO SUPPLEMENTARY ANGLES IN THE RATIO 2:3 ARE 72^o , 108^o .