In the following figure, if l || m and CD is transversal, what are ∠1 and ∠2 representing?

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Q.

In the following figure, if $l | | m$ and CD is transversal, what are $∠ 1$ and $∠ 2$ representing?

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a

Co-interior angles

b

Corresponding angles

c

Alternate interior angles

d

Exterior angles

answer is C.

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Detailed Solution

Given figure is

l | | m

and the CD is transversal.
Question Image

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From the figure we can clearly say that angle 1 and 2 are alternate interior angles.
When two parallel lines are crossed by a transversal then the pair of angles formed on the inner side of the parallel lines on the opposite sides of the transversal are called alternate interior angles.
Here

∠ 1

and

∠ 2

are alternate interior angles since they are on the opposite side of the transversal .
Hence, the correct option is 3.

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In the following figure, if l || m and CD is transversal, what are ∠1 and ∠2 representing?