A
B
C
D
Explanation
Correct answer: A.
Choice A is correct. It's given that angle and angle are vertical angles, and the measure of angle is . Vertical angles have equal measures. Therefore, the measure of angle is .
Desmos solution:
Note: The answer is simply 72, typed directly into Desmos, because vertical angles are always equal.
Enter in Desmos:
Reviewed and rewritten by CookSAT
Why the other choices are wrong
Choice B
Choice B is incorrect. This is the measure of an angle that is supplementary, not congruent, to angle .
Choice C
Choice C is incorrect. This is the sum of the measures of angle and angle .
Choice D
Choice D is incorrect and may result from conceptual or calculation errors.