Question

If the interior angles on the same side of a transversal intersecting two parallel lines are in the ratio 4 : 5 then find the difference between the measures of the 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=

5

180

=36

Hence, two angles are 2x=2×36=72

⇒3x=3×36=108

Hence, greater angle is 108

o

.

Answer 2

Answer:

108  

o

 

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=  

5

180

​

=36  

Hence, two angles are 2x=2×36=72

⇒3x=3×36=108  

Hence, greater angle is 108  

o

.

Step-by-step explanation: