Question

)The figure below shows parallel lines cut by a transversal:

Answer 1

Answer-

1 and 2 are congruent because they are a pair of corresponding angles

Solution-

When two lines are crossed by another line (called the transversal), the angles in matching corners are called Corresponding Angles.

The parallel case -

If the transversal cuts across parallel lines, then corresponding angles have the same measure.

The non-parallel case -

If the transversal cuts across lines that are not parallel, the corresponding angles have no particular relationship to each other.

In the given diagram, 1 and 2 are a pair of corresponding angles. And as the two lines are parallel, so 1 and 2 are congruent.

Answer 2

1 and 2 are congruent because they are a pair of corresponding angles