Question

Two supplementary angles are in the ratio 7 : 5. Find the angles.

Answer 1

Ratio between two supplementary angles are 7 : 5

∴ Sum of ratios = 7 + 5 = 12

But sum of two supplementary angles = 180°

∴ First angle = `180^circ xx 7/12 = 15^circ xx 7 = 105^circ`

and second angle = `(180^circ xx 5)/12 = 15^circ xx 5 = 75^circ`

∴ Two supplementary angles are 105° and 75°