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Question
In the following figure, if AB || CD, then ______.
Options
∠2 = ∠3
∠1 = ∠4
∠4 = ∠1 + ∠2
∠1 + ∠2 = ∠3 + ∠4
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Solution
In the following figure, if AB || CD, then ∠1 + ∠2 = ∠3 + ∠4.
Explanation:
Given, AB || CD
∴ ∠2 = ∠4 ...(i) [Corresponding angles]
And ∠1 = ∠3 ...(ii) [Alternate interior angles]
Adding (i) and (ii), we get
∠1 + ∠2 = ∠3 + ∠4
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