State whether the following statement is true or false.

Each pair of corresponding angles is equal when a transversal intersects two parallel lines.

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True

False

answer is A.

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Detailed Solution

It is given that a transversal line intersects two parallel lines.
We know that transversal could be a line that passes through two lines at two distinct points within the same plane.
The angles in corresponding corners on a transversal are known as corresponding angles.
Within the given figure,

∠ 1 & ∠ 5

and

∠ 2 & ∠ 6

are corresponding angles.
Question Image

Since the lines ’l’ and ‘m’ are parallel, these angles are equal.
So, each and every pair of corresponding angles will be equal.
Therefore, each pair of corresponding angles is equal when a transversal intersects two parallel lines.
Thus, the given statement is true.
Hence, option (1) is correct.

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