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. Both statements are true. An angle is a right angle if and only if its measure is 90. Both statements are true. The measure of an angle is 90 if and only if it is not a right angle. One statement is false. If an angle is a right angle, its measure may be 180. One statement is false. If an angle measure is 90, the angle may be an obtuse angle.

Answer 1

Answer: The answer is (B) "both statements are true. An angle is a right angle if and only if it's measure is 90°."

Step-by-step explanation: The given statements are

If an angle is right angle, it's measure is 90°.

If the measure of an angle is 90°, then it is a right angle.

Both the statements are true. We can combine them as a unconditional as follows:

An angle is a right angle if an only if it's measure is 90°.

Hence, (B) is the correct option.

Answer 2

If an angle is a right angle, its measure is 90.
If an angle measure is 90, the angle is a right angle.

The answer is:
Both statements are true.

This is the biconditional.
An angle is a right angle if and only if its measure is 90°.

Other types of angles: Acute angle - less than 90° Obtuse angle - more than 90° but less than 180°. Straight angle - exactly 180° Reflex angle - more than 180°