Question

Determine whether the conditional and its converse are both true. If both are true, combine them as a biconditional. If either is false, provide a counterexample. If an angle is a right angle, its measure is 90. If an angle measure is 90, the angle is a right angle. One statement is false. If an angle measure is 90, the angle may be an obtuse angle. One statement is false. If an angle is a right angle, its measure may be 180. Both statements are true. The measure of an angle is 90 if and only if it is not a right angle. Both statements are true. An angle is a right angle if and only if its measure is 90.

Answer 1

Both the conditional "If an angle is a right angle, its measure is 90" and its converse "If an angle measure is 90, the angle is a right angle" are true.

We can combine them as a biconditional: "An angle is a right angle if and only if its measure is 90."