When two parallel lines are intersected by a transversal, which pair of angles are always supplementary? Select all that apply.

A.

corresponding angles

B.

vertical angles

C.

same-side interior angles

D.

alternate interior angles

E.

alternate exterior angles

F.

same-side exterior angles

Same-Side Interior Angles and Same-Side Exterior Angles

C and F

Step-by-step explanation:

We are given that two parallel lines are intersected by a transversal.

We have to find pair of supplementary angles.

Supplementary angle: Two angles whose sum is equal to 180 degrees are called supplementary angles.

A.

Corresponding angles

It is not necessary that sum of corresponding angles is always equal to 180 degrees. Therefore, pair of angles are not always supplementary.

So, it is true.

B. Vertical angles

It is not necessary that sum of vertical angles is always equal to 180 degrees. Therefore, pair of angles are not always supplementary.

So, it is not true.

C. Same - side interior angles.

We know that sum of same side interior angles is always equal to 180 degrees. Therefore, they are always supplementary.

So, it is true.

D. Alternate interior angles

It is not necessary that sum of Alternate interior angles is always equal to 180 degrees. Therefore, pair of angles are not always supplementary.

So, it is not true.

E. Alternate exterior angles

It is not necessary that sum of Alternate exterior angles is always equal to 180 degrees. Therefore, pair of angles are not always supplementary.

So, it is not true.

F. Same side exterior angles

We know that sum of same side exterior angles is always equal to 180 degrees. Therefore, they are always supplementary.

Answer:C and F