Question

If two interior angles
the same side of
a transversal intersecting two parettel
lines are in the ratio 32, then find
the greater of the two angles.​

Answer 1

Answer:

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=5180=36 

Hence, two angles are 2x=2×36=72

⇒3x=3×36=108 

Hence, greater angle is 108o.

Answer 2

Answer:

The greater angle = 108°

Explanation:

ratio of interior angles = 3/2

sum of ratio= 5

sum of interior angles = 180°

since the greater ratio is 3;

the greater angle = (3×180) ÷ 5

the greater angle= 540÷5

the greater angle = 108°