Question

# Question 101 In the given figure, if l || m, find the values of a and b.

Solution

## The correct option is since l, m are parallel lines and t is transversal. ∴∠EAB+∠DBA=180∘              [consecutive interior angles]⇒b+132∘=180∘⇒b=180∘−132∘⇒b=48∘ Again, l, m are parallel lines and s is transversal. Therefore, ∠EAC+∠BCA=180∘              [consecutive interior angles]⇒a+b+65∘=180∘⇒a+48∘+65∘=180∘⇒a=180∘−48∘−65∘            [∴ b=48∘]⇒a=67∘

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