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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 :
  1. 72
  2. 108
  3. 54
  4. 36

A
72
B
54
C
36
D
108
Solution
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Let the angles be 2x and 3x
Sum of angles on the same side of transversal intersecting two parallel lines is 180
2x+3x=1805x=180x=36
So the angles are
2x=2×36=723x=3×36=108
So the smaller angle is 72

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