In the given figure, line n is a transversal to lines l and m. State if the given statement is true or false. “Pair of interior angles are ∠a and ∠e , ∠d and ∠f . Pairs of exterior angle are ∠b and ∠h , ∠c and ∠g .”

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Q.

In the given figure, line n is a transversal to lines l and m. State if the given statement is true or false. “Pair of interior angles are $∠ a$ and $∠ e$ , $∠ d$ and $∠ f$ . Pairs of exterior angle are $∠ b$ and $∠ h$ , $∠ c$ and $∠ g$ .”

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a

True

b

False

answer is A.

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Detailed Solution

It is given that line n is a transversal to lines l and m.
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Let us observe the figure.
We can observe that that the pair of interior angles are

∠ a

and

∠ e

,

∠ d

and

∠ f

as they are located on the inner side of the transversals that intersect the line n.
Similarly, the pairs of exterior angles are

∠ b

and

∠ h

,

∠ c

and

∠ g

as we can observe that they are located on the outer side of the transversals that intersect the line n.
Pairs of interior angles are

∠ a

and

∠ e

,

∠ d

and

∠ f

.
Pairs of exterior angles are

∠ b

and

∠ h

,

∠ c

and

∠ g

.
Hence, the correct option is 1.

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