Question

When a transversal cuts two parallel lines, each pair of corresponding angles are ____________



1)Equal

2)Not equal

3)Opposite
​

Answer 1

Answer:

When a transversal cuts two parallel lines, each pair of corresponding angles are ____________

Equal

Answer 2

Answer:

1) Equal

Step-by-step explanation:

To Find:- When a transversal cuts two parallel lines, each pair of

               corresponding angles are equal, unequal or opposite.

Solution:-

When a transversal intersects two or more parallel lines, the angles that occupy the same relative position at each intersection are called Corresponding angles.

According to Corresponding angles theorem,

"If a line intersects two parallel lines, then the corresponding angles in the two intersection regions are congruent".

In the given figure, n is the transversal, l and m are the parallel lines whereas the pair of corresponding angles are:

1. ∠1 and ∠5, so ∠1 = ∠5.  [acc. to corresponding angles theorem.]

2. ∠2 and ∠6, so ∠2 = ∠6.

3. ∠3 and ∠7, so ∠3 = ∠7.

4. ∠4 and ∠8, so ∠4 = ∠8.

4 pairs of corresponding angles are formed when a transversal cuts two parallel lines.

Hence when a transversal cuts two parallel lines, each pair of corresponding angles are equal.

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