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Line CT and line SM intersect at point A. What is the relationship between angle CAM and angle MAT?

Angle CAM and angle MAT are supplementary angles that sum to 180°.
Angle CAM and angle MAT are vertical angles that are congruent.
Angle CAM and angle MAT are supplementary angles that are congruent.
Angle CAM and angle MAT are vertical angles that sum to 180°.

1 answer

To determine the relationship between angle CAM and angle MAT, we need to understand how these angles are formed with respect to the lines CT and SM.

Assuming lines CT and SM intersect at point A, angle CAM is formed by line segments CA and AM, while angle MAT is formed by line segments MA and AT.

If we consider the arrangement of these angles:

  1. Angle CAM and angle MAT are not vertical angles because they do not share the same vertex with their respective opposite angles.
  2. If we look at the configuration, angle CAM and angle MAT lie on a straight line formed by line segment CT and line segment SM.

Therefore, angle CAM and angle MAT are supplementary angles because they are adjacent and their measures add up to 180°.

Thus, the correct relationship is: Angle CAM and angle MAT are supplementary angles that sum to 180°.