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Two interior angles on the same side of a transversal are in the ratio 2 : 3, and the lines are parallel.
Find the smaller angle (in degrees).

Class 9The Fifth PostulateGeometry — Foundations

A65
B79
C72
D144

Step-by-Step Solution

Let angles be

2 t

and

3 t

. Parallel:

2 t + 3 t = 180, 5 t = 180, t = 36

. Smaller =

2 t = 72

deg.

Answer: C) 72

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