Question

If two interior angles on the same side of a transversal intersecting two parallel lines
are in the ratio 2 : 3, then the smaller of two angles is:
(a)
(c) 108° (d)
36°
720
(b)
54°​

Answer 1

Answer:

72°

Step-by-step explanation:

Let the angles be 2x and 3x

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

⇒2x+3x=180°

⇒5x=180°

⇒x=36°

So the angles are

2x=2×36 °=72°

3x=3×36°=108°

So the smaller angle is 72°

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