If two interior angles on the same side of a transversal intersecting two parallel lines are in the ratio 2 : 3, then the greater of the two angles is:
108°
The correct answer is Option 3 i.e. 108°.
Interior angles on the same side of a transversal are supplementary when lines are parallel.
So,
⇒ 2x + 3x = 180
⇒ 5x = 180
⇒ x = 36
Greater angle = 3 × 36 = 108°
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