Question

2 supplementary angles are in tge ratio of 3:2 Find the angles

Answer 1

let the ratios be 3x and 2x
Sum of supplementary angle =180
3x +2x=180
5x=180
x=180/5
x=36

2x=2+×36=72
3x=3×36=108

Answer 2

Answer :

Supplementary angles : If the sum of two angles is 180°, the angles are called Supplementary angles.

The ratio of the given angles is 3 : 2

Let, the common multiple be k

Then, the angles are 3k and 2k

Since, they are Supplementary angles,

3k + 2k = 180

⇒ 5k = 180

⇒ k = 180/5

⇒ k = 36

∴ the angles are (3 × 36)° and (2 × 36)°, i.e., 108° and 72°

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