In the given figure, line n is a transversal to lines l and m. Identify the following: Angles alternate to $∠ d$ and $∠ g$ and angles corresponding to angles $∠ f$ and $∠ h$ .

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Alternate angles to∠d and ∠g are

∠ e, and ∠ b,

respectively and corresponding angles to ∠f and ∠h are

∠ a and ∠ c

respectively

Alternate angles to ∠d and ∠g are

∠ a, and ∠ b,

respectively and corresponding angles to ∠f and ∠h are

∠ c and ∠ e

respectively

Alternate angles to∠d and ∠g are

∠ e, and ∠ b,

respectively and corresponding angles to ∠f and ∠h are

∠ c and ∠ a

respectively

Alternate angles to∠d and ∠g are

∠ b, and ∠ e,

respectively and corresponding angles to ∠f and ∠h are

∠ a and ∠ c

respectively

answer is A.

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Detailed Solution

It is given that line n is a transversal to lines and m.
Question Image

We know that alternative angles are a pair of angles that are formed on the opposite side of the transversal, when the transversal crosses two parallel lines.
Hence, we can write that, alternate angle to

∠ d

∠ e

and alternate angle to

∠ g

∠ b

.
We also know that, corresponding angles, any pair of angles that are on the same side of one of two lines cut by a transversal and on the same side of the transversal.
So, the corresponding angle to