A
B
C
D
Explanation
Correct answer: B.
Choice B is correct. In the figure shown, the angles with measures and are vertical angles. Vertical angles have equal measure, so the two marked angles have equal measure. Therefore, the value of is .
Desmos solution:
Note: Vertical angles have equal measure, so the unknown angle is 72°.
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 C
Choice C is incorrect and may result from conceptual or calculation errors.
Choice D
Choice D is incorrect and may result from conceptual or calculation errors.