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The statement "An angle is a right angle if and only if its measure is 90 degrees" is an example of what type of statement?

(a) Conditional statement
(b) Biconditional statement
(c) Hypothetical statement
(d) Conclusive statement

User Austinh
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Final answer:

The statement is a Biconditional statement, indicating that the two conditions of being a right angle and having a 90-degree measure are logically equivalent and reliant on each other.

Step-by-step explanation:

The statement "An angle is a right angle if and only if its measure is 90 degrees" is an example of a Biconditional statement. A biconditional statement is true when both parts are true or both are false; it conveys that the two statements are logically equivalent, meaning the conditions specified are both necessary and sufficient for each other. In this context, both conditions are that the angle is a right angle and that its measure is 90 degrees. If the angle is a right angle, its measure must be 90 degrees, and if an angle measures 90 degrees, it must be a right angle.

User Anthony Pham
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