Question

In the following figure, if AB || CD, then ______.

विकल्प

• ∠2 = ∠3

• ∠1 = ∠4

• ∠4 = ∠1 + ∠2

• ∠1 + ∠2 = ∠3 + ∠4

Answer 1

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