Respuesta :

Answer: Angle CAB by AAS (choice B)

=====================================================

Explanation:

The order of the sequence CDE is important. We start with letter C for this figure, so the answer must start with letter C. Why? Because the two angles located at angle C show a congruent angle pairing. This is shown by the double arc markings. They are congruent by the vertical angle theorem.

The second letter in CDE is D. Note how angle D has a single arc marking, and so does angle A. Therefore angles D and A pair up to correspond to one another. So the letter A must be the second letter in the final answer. Letter B must be the last. That's how we end up with CAB as the proper order for the answer.

Based on the single tickmarks, we can see that AB = DE

We use AAS (angle angle side) to justify the triangle similarities because we have two pairs of angles (C = C; D = A) and a pair of congruent sides. The sides are not between the pairs of angles. We would use ASA if we knew that AC = CD; however we aren't given this info.