Question

f two interior angles on the same side of a transversal intersecting two parallel lines are in ratio 2 :3 then, what is the smaller anlge?

Answer 1

The two interior angles on the same side of a transversal intersecting two parallel lines
add up to 180°
let the angles be 2x and 3x
2x+3x = 180
x = 36

So the angles are .....

Answer 2

Let the angles be 2 x and 3 x

Sum of interior angles on same side of transversal intersecting two parallel lines is 180°

2 x + 3 x = 180°

5 x = 180°

x = 180° / 5 = 36°

The angles are:

2 x = 2 ∙ 36° = 72°

3 x = 3 ∙ 36° = 108°

The smaller angle is 72°