Explanation
Correct answer: C.
Choice C is correct. Since lines and are parallel, corresponding angles formed by the intersection of line with lines and are congruent. Therefore, the angle with measure must be the supplement of the angle with measure . The sum of two supplementary angles is , so .
Desmos solution:
Note: The expression 180-64 directly computes the value of a, since a° and the 64° angle are supplementary.
Enter in Desmos:
Reviewed and rewritten by CookSAT
Why the other choices are wrong
Choice A
Choice A is incorrect and likely results from thinking the angle with measure is the complement of the angle with measure .
Choice B
Choice B is incorrect and likely results from thinking the angle with measure is congruent to the angle with measure .
Choice D
Choice D is incorrect and likely results from a conceptual or computational error.