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First, draw two lines BE and CF such that BE ⊥ PQ and CF ⊥ RS.
Now, since PQ RS,
So, BE CF
We know that,
Angle of incidence = Angle of reflection (By the law of reflection)
So,
1 = 2 and
3 = 4
We also know that alternate interior angles are equal. Here, BE ⊥ CF and the transversal line BC cuts them at B and C
So, 2 = 3 (As they are alternate interior angles)
Now, 1 +2 = 3 +4
Or, ABC = DCB
So, AB CD alternate interior angles are equal.
☺️:)
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