Question

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

Answer 1

Answer:

Let the angles be 3x and 7x.

We know that sum of two interior angles on the same side of transversal is 180∘.

3x+7x+=180∘

⇒10x=180∘

⇒x=18∘

Therefore, the greater angle is 7x=7×18=126∘

Answer 2

$\bf\underline{\underline{\blue{SOLUTION:-}}}$

Question

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

Answer

• Measure of larger angle = 108°

Given

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

To Calculate

• Larger angle __?

Explanation

Let two angles be 2x and 3x

We know that,

If two interior angles on the same side of a transversal intersects two parallel lines.

Their Sum = 180

So, 2x+3x=180

↝ 5x= 180

↝ x= 180/5

↝ x= 36°

Angles are :-

2x = 2×36 = 72°

3x= 3×36= 108°

$\bf\underline{\underline{\blue{HENCE:-}}}$

• Measure of Larger angle be 108°

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