A
B
C
D
Explanation
Correct answer: D.
Choice D is correct. In the figure shown, the angles with measures and are vertical angles. Since vertical angles are congruent, . Therefore, if , the value of is .
Desmos solution:
Enter in Desmos:
Reviewed and rewritten by CookSAT
Why the other choices are wrong
Choice A
Choice A is incorrect and may result from conceptual or calculation errors.
Choice B
Choice B is incorrect. This is the measure, in degrees, of an angle that's supplementary, not congruent, to the angle with measure .
Choice C
Choice C is incorrect and may result from conceptual or calculation errors.