The diagram shows two right triangles. Is it true that and must be
equal?
32°

A. Yes, because the triangles are similar.
B. Yes,
because the triangles are both right triangles.
C. No,
may not be equal because a and p may not be equal.
D. No, may not be equal because the measures of angle B
and angle Q may not be equal.

This is because the fact that the triangles are right triangles does not guarantee that angle B and angle Q will be equal. Right triangles have one angle measuring 90 degrees, but the other two angles can vary. Therefore, angle B and angle Q may or may not be equal.

It is important to note that in option C, it is mentioned that a and p may not be equal. However, this statement is not relevant to the question being asked about the angles. Hence, option C is not the correct answer.

In option A, it is mentioned that the triangles are similar. While this is true, it does not necessarily mean that angle B and angle Q must be equal. Therefore, option A is not the correct answer.

In option B, it is mentioned that the triangles are both right triangles. While this is true, as mentioned earlier, it does not guarantee that angle B and angle Q will be equal. Therefore, option B is not the correct answer.

To summarize, angle B and angle Q may or may not be equal in the given diagram of two right triangles.