Question

2.5.7 check your understanding
a true conditional statement is given.
if an angle measure is greater than 90°, then the angle is obtuse.
what is the biconditional statement for the conditional statement?
if an angle is not obtuse, then the angle measure is not greater than 90°
an angle measure is greater than 90° if and only if the angle is obtuse.
if and only if an angle is obtuse, then the angle measure is greater than 90°
if an angle is obtuse, then the angle measure is greater than 90°

Explanation:

A biconditional statement combines a conditional statement and its converse. Given the conditional "If an angle measure is greater than 90°, then the angle is obtuse", the biconditional is "An angle measure is greater than 90° if and only if the angle is obtuse" as it implies both the original conditional and its reverse.

Answer:

An angle measure is greater than 90° if and only if the angle is obtuse.