Question

Reason: or linear pair of angles is always 1800. 12. Assertion: If two interior angles on the same side of a transversal intersecting two parallel lines are in the ratio 5:4, then the greater of the two angles is 1000. Reason: If a transversal intersects two parallel lines, then the sum of the interior angles on the same side of the transversal is 180°​

Answer 1

ANSWER ➡️ 108°

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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