Question

I two interior angles on the same side of a transversal intersecting two parallel lines in the ratio 2:3 then find the smaller of two angles

Answer 1

When the lines are parallel, the interior angles on the same side of the transversal are supplementary. If two parallel lines are cut by a transversal, the interior angles on the same side of the transversal are supplementary.

Answer 2

Answer:

Step-by-step explanation:

A pair of angles (interior angles) on the same side of the transversal

are supplementary.

Let the two interior angles be 2x and 3x.

So, 2x + 3x = 180°

      5x = 180°

        x = 180°/5

        x = 36°

       2x = 72°

        3x= 108°

   Hence, the two interior angles are of measures 72° and 108°.

   The smallest angle amongst the two is of measure 72°.

 HOPE IT HELPS YOU.