In the below fig, state Which lines are parallel and why?

Question:

In the below fig, state Which lines are parallel and why?

Solution:

Vertically opposite angles are equal

⟹ ∠EOC = ∠DOK = 100°

∠DOK = ∠ACO = 100°

Here two lines EK and CA cut by a third line and the corresponding angles to it are equal Therefore, EK ∥ AC.

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