Question

if two interior angles on the same side of a transversal line intersecting two parallel lines are in the ratio of 2:3 then find the measure of SMALLER ANGLE​

Answer 1

༒︎Given :-

❥︎ Two angles are on the same side of transversal.

❥︎ Ratio = 2 : 3

༒︎To find :-

❥︎ the measure of Greater angle

༒︎Assuming :-

❥︎ one angle = 2x

❥︎ other angle = 3x

༒︎Step by Step Solution :-

As we know ,

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

Now ,

$2x + 3x = 180 \\ 5x = 180 \\ x = \frac{180}{5} \\ x = 36$

✨ Hence The two angles are :-

One angle = 2x = 2 × 36 = 72°

other angle = 3x = 3 × 36 = 108°

Therefore the greater angle is 108°

Hope it helps..✌️