choose the correct answer below. a. if an angle is a right angle, then it measures 90°. b. if an angle measures 90°, then it is a right angle.

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# Brief Explanations:
To determine the correct answer, we recall the definition of a right angle: a right angle is defined as an angle that measures $90^\circ$.

- For option A: The statement "If an angle is a right angle, then it measures $90^\circ$" is a direct application of the definition. By definition, all right angles have a measure of $90^\circ$, so this statement is true.
- For option B: The statement "If an angle measures $90^\circ$, then it is a right angle" is also true (since that's the definition of a right angle), but wait, actually, both A and B are related to the definition. Wait, maybe the question is about the converse or something else? Wait, no—let's re - check. Wait, the definition of a right angle is an angle with measure $90^\circ$. So:
    - The original statement (let's say the definition is "A right angle is an angle that measures $90^\circ$") can be written as "If an angle is a right angle, then it measures $90^\circ$" (A). The converse is "If an angle measures $90^\circ$, then it is a right angle" (B). But in the context of the definition, both are true in the sense of the definition of a right angle. Wait, maybe there was a mis - understanding. Wait, no—actually, the definition of a right angle is that a right angle is an angle of measure $90^\circ$. So the statement in A is the forward direction of the definition, and B is the converse. But in standard geometric definitions, both are considered true because the definition is a biconditional (if and only if). But maybe the question is about which one is the "definition" - style statement. Wait, the definition is "A right angle is an angle that measures $90^\circ$", which can be translated to "If an angle is a right angle, then it measures $90^\circ$" (A) as the direct statement of the definition. Wait, no—actually, the definition is a two - way implication. But maybe the question is from a context where they are asking for the "if - then" that corresponds to the definition. Wait, let's think again. The definition of a right angle is that a right angle has a measure of $90^\circ$. So the statement "If an angle is a right angle, then it measures $90^\circ$" (A) is a direct statement of the property of a right angle. The statement "If an angle measures $90^\circ$, then it is a right angle" (B) is also true, but maybe the question is about the "original" statement. Wait, perhaps there was a typo, but based on the definition, both are correct? No, wait, no—actually, in geometry, a right angle is defined as an angle with measure $90^\circ$, so both A and B are true. But that can't be. Wait, maybe the question was about the "converse" or "inverse" or something else. Wait, no—the user just shows two options. Wait, maybe I made a mistake. Wait, let's check the definitions again. A right angle is an angle that is exactly $90^\circ$. So:

- Option A: "If an angle is a right angle, then it measures $90^\circ$". This is true because by definition, right angles are $90^\circ$.
- Option B: "If an angle measures $90^\circ$, then it is a right angle". This is also true because that's the definition of a right angle.

But this is a problem. Wait, maybe the original question was about the "converse" of a different statement. Wait, perhaps the original statement was "A right angle measures $90^\circ$", and they are asking for the converse. The converse of "If $p$, then $q$" is "If $q$, then $p$". If the original statement is "If an angle is a right angle ($p$), then it measures $90^\circ$ ($q$)", then the converse is "If an angle measures $90^\circ$ ($q$), then it is a right angle ($p$)", which is option B. But if the question is about the "statement" (not the converse), then option A is the direct statement. Wait, maybe the question was cut off. But based on the given options, if we assume that the question is about the definition - style statement, both are correct, but that's not possible. Wait, no—maybe I misread. Wait, the options are:

A. If an angle is a right angle, then it measures $90^\circ$.

B. If an angle measures $90^\circ$, then it is a right angle.

In standard geometric terms, both are true because the definition of a right angle is an angle with measure $90^\circ$ (a biconditional: an angle is a right angle if and only if it measures $90^\circ$). But maybe the question is from a context where they consider one of them as the "correct" answer. Wait, perhaps the original question was about the "converse" of a given statement. For example, if the original statement was "If an angle measures $90^\circ$, then it is a right angle", then the converse would be "If an angle is a right angle, then it measures $90^\circ$". But without more context, it's hard. Wait, but maybe the question is about the "definition" - the definition is "A right angle is an angle that measures $90^\circ$", which can be written as "If an angle is a right angle, then it measures $90^\circ$" (A). So maybe A is the correct answer. Wait, no—actually, the definition is a two - way implication. But maybe in the context of the question, they are asking for the "if - then" that corresponds to the definition's forward direction. So I think the correct answer is A (or B, but let's see). Wait, no—let's think of it as: the definition of a right angle is that it has measure $90^\circ$. So the statement "If an angle is a right angle, then it measures $90^\circ$" is a direct consequence of the definition. The statement "If an angle measures $90^\circ$, then it is a right angle" is also a direct consequence. But this is confusing. Wait, maybe the question was about the "converse" of a different statement. For example, if the original statement was "A right angle measures $90^\circ$", and we write it as an if - then: "If an angle is a right angle, then it measures $90^\circ$" (A), then the converse is "If an angle measures $90^\circ$, then it is a right angle" (B). But if the question is asking for the "converse", then B is the converse of A. But without knowing the original statement, it's hard. Wait, maybe the question is just asking which of the two is a true statement. Both A and B are true. But that can't be. Wait, maybe there's a mistake in the question. But assuming that we have to choose between A and B, and considering the definition of a right angle, both are true. But maybe the intended answer is A or B. Wait, let's check the definitions again. A right angle is an angle with measure $90^\circ$. So:

- For A: All right angles have measure $90^\circ$ - true.
- For B: All angles with measure $90^\circ$ are right angles - true.

But this is a problem. Wait, maybe the question was about the "inverse" or "contrapositive", but no. Wait, maybe the user made a mistake in the question. But given the options, if we have to choose, and assuming that the question is about the definition - the definition is "A right angle is an angle that measures $90^\circ$", which is equivalent to "If an angle is a right angle, then it measures $90^\circ$" (A). So I think the correct answer is A. Wait, no—actually, the definition is a biconditional, so both are correct. But since the question is asking to choose the correct answer, maybe both are correct, but that's not possible. Wait, maybe the original question was about the "converse" of a statement, and the original statement was A, so the converse is B. But without more context, it's hard. Wait, maybe I should check standard geometric definitions. The definition of a right angle is: "A right angle is an angle whose measure is $90^\circ$". This can be written as the conditional statement: "If an angle is a right angle, then its measure is $90^\circ$" (A). The converse of this statement is "If an angle's measure is $90^\circ$, then it is a right angle" (B). In mathematics, for a definition, the conditional and its converse are both true (because the definition is an "if and only if" statement). But if the question is asking for the "definition - style" conditional (the one that directly states the property of the defined term), then A is the one that has the defined term (right angle) in the hypothesis. So I think the correct answer is A.

# Answer:
A. If an angle is a right angle, then it measures $90^\circ$

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