Question

if two interior angles on the same side of the transversal intersect in two parallel lines are in the ratio 2 : 3 then find the angles​

Answer 1

Step-by-step explanation:

Since, the interior angles are in the ratio of 2:3.

So, Let the two interior angles be "2x" and "3x" respectively.

Since, the two int. angles are on the same side of transversal.

So, 2x + 3x = 180° (co-interior angles)

=> 5x = 180°

Therefore, x = 180°/5

= 36°

So, 1st angle = 2x

= 2 × 36°

= 72°

And, 2nd angle = 3x

= 3 × 36°

= 108°

Hope it helps :)

Answer 2

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