Question

If the exterior rays (sides) of two adjacent angles are opposite rays, then the angles are supplementary. (Two column proof)

a) True
b) False

Answer 1

The statement is true. If the exterior rays of two adjacent angles are opposite rays, then the angles are supplementary.

Step-by-step explanation:

If the exterior rays (sides) of two adjacent angles are opposite rays, then the angles are supplementary. This statement is true.

Supplementary angles are a pair of angles whose measures add up to 180 degrees. Opposite rays are two rays that share a common endpoint and form a straight line. When the exterior rays of two adjacent angles are opposite rays, it means that the angles are linear pairs. In a linear pair, the angles are adjacent and the non-common sides are opposite rays.

For example, if angle A and angle B are adjacent angles and the exterior rays (sides) AB and BA are opposite rays, then angle A and angle B are supplementary angles because they form a straight line.