Answer:
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
