Question

question 15 (multiple choice worth 1 points)
(01.07r mc)

line ct and line sm intersect at point a. what is the relationship between angle tam and angle cas?

angle tam and angle cas are supplementary angles that sum to 180°

angle tam and angle cas are supplementary angles that are congruent

angle tam and angle cas are vertical angles that sum to 180°

angle tam and angle cas are vertical angles that are congruent

Explanation:

When two lines intersect, vertical angles are formed. Vertical angles are opposite each other and are congruent. Angle TAM and angle CAS are vertical - angles formed by the intersection of line CT and line SM at point A. They are not supplementary (supplementary angles add up to 180° and vertical angles are not necessarily supplementary unless they are right - angles).

Answer:

Angle TAM and angle CAS are vertical angles that are congruent.