Question

If two interior angles on the same side of a
transversal intersecting two parallel lines are
in the ratio 2:3, then larger angle is __________

Answer 1

Answer:

Heya mate your answer is----------------------------------------------------

Let us draw the following figure: Here AB || CD with t as a transversal. Also, ∠1and ∠2are the two angles on the same side of the transversal. We also, know that, if a transversal intersects two parallel lines, then each pair of consecutive interior angles are supplementary.

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Answer 2

SOLUTION:-

Given

Two interior angles on the same side of a transversal intersecting two parallel lines are in ratio 2 : 3

To find

▪︎ Larger angle?

Explanation

Let the first interior angle be 2x

Then

Second interior angle be 3x

we know that,

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

Substitute the values

2x+3x=180°

5x= 180°

x= 180/5

x= 36°

Then, the value of x = 36°

Hence

First interior angle be 2x= 2×36= 72°

Second interior angle be 3x= 3×36= 108°

Hence , larger angle is 108°

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