Question

if a pair of supplementary angles are in the ratio 4:5 then find the smaller angle
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Answer 1

Answer:

Supplementry ------> sum is 180°

let x be any number

4x+5x=180°

x=180°/9

x=20°

Therefore, smallest angle: 4x=4*x=4*20°=80°

Hope this helps u

Answer 2

sum of a pair of supplementary angles = 180⁰

Let the angle be = x

4x + 5x = 180⁰

9x = 180⁰

x = 180/9

x = 20⁰

4x = 4 × 20 = 80⁰

5x = 5 × 20 = 100⁰

smaller angle = 80⁰