Question

if two interior angles on the same side of a transversal intersecting two parallel lines are in the ratio 2:3,then the greatest of two angles is:​

Answer 1

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 =  180 / 5  =36  

Hence, two angles are 2x = 2 × 36 = 72

⇒3x = 3 × 36 = 108  

Hence, greater angle is 108