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If two interior angles on the same side of a transversal intersecting two parallel lines are in the ratio 2:3 which is the smallest of the two angles?

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72°

108°

90°

36°

answer is A.

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Detailed Solution

Concept- We will use the property that the sum of the two interior angles on the same side of a transversal intersecting two parallel lines is equal to 180°.
Let the angles be

2 x

and

3 x

The total of the internal angles on the same side of a transversal intersected by two parallel lines is now 180°.

2 x + 3 x =

180°

5 x =

180°

x =

36°
So, the angles are

2 x

= 2×36° = 72°

3 x

= 3×36° = 108°
So, the smaller angle is 72°
Hence, option 1 is correct.

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