Explanation
Correct answer: B.
Choice B is correct. It's given that triangle is similar to triangle . Corresponding angles of similar triangles are congruent. Since angle and angle correspond to each other, they must be congruent. Therefore, if the measure of angle is , then the measure of angle is also .
Desmos solution:
Note: The line q=m uses the correspondence between M and Q to set the angles equal, and the calculator evaluates q as 53.
Enter in Desmos:
Reviewed and rewritten by CookSAT
Why the other choices are wrong
Choice A
Choice A is incorrect and may result from concluding that angle and angle are complementary rather than congruent.
Choice C
Choice C is incorrect and may result from concluding that angle and angle are supplementary rather than congruent.
Choice D
Choice D is incorrect and may result from conceptual or calculation errors.