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Question
write the biconditional as a conditional and its converse. then determine whether the biconditional is true or false. an angle is acute if and only if it has a measure less than 90°. conditional: if select choice, then select choice. converse: if an angle measures less than 90°, then it is select choice. the conditional and the converse are select choice, so the biconditional is select choice.
A conditional statement is "If an angle is acute, then it has a measure less than 90°". Its converse is "If an angle measures less than 90°, then it is acute". By the definition of an acute - angle (an angle with measure between 0° and 90°), both the conditional and its converse are true. A biconditional statement is true when both the conditional and its converse are true.
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The conditional: If an angle is acute, then it has a measure less than 90°. The converse: If an angle measures less than 90°, then it is acute. The biconditional is true.