Question

if two interior angles on the same side of a transversal intersecting two paraller line are in ratio 2:3 then the measure of the larger angle is 54°​

Answer 1

Step-by-step explanation:

Two interior angles on the same side of a transversal intersecting two parallel lines are in the ratio 2:3 ....(Given)

Let one angle =2x

Other angle =3x

As sum of interior angles on same side of transversal intersecting two parallel line is 180

⇒2x=3x=180

⇒5x=180

⇒x=

5

180

=36

Hence, two angles are 2x=2×36=72

⇒3x=3×36=108

Hence, greater angle is 108

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Answer 2

let the ratio be 2x and 3x

2x + 3x =180° ( co interior angles )

5x = 180°

x = 180 ÷ 5 = 36°

smaller angle = 2 × 36° = 72°

HERE IS YOUR ANSWER