Question

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

A pair of parallel lines is shown, cut by a transversal. Angle 1 is located in the upper right exterior corner on the top line, and angle 2 is located in the upper right corner of the bottom line.

Which statement is true about ∠1 and ∠2?


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

Answer 1

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

Explanation:

Answer 2

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.