The question asks for the biconditional statement corresponding to the given conditional:
"If an angle is right, then it has a measure of 90 degrees."

A biconditional statement involves both directions of a conditional:

• If A, then B (original statement)
• If B, then A (converse statement)

The structure of a biconditional uses "if and only if" to mean that both conditions are logically equivalent.

Now, let’s analyze the answer options:

1. "An angle is right if and only if it measures 90 degrees."

   • This is the correct biconditional. It combines both directions of the conditional:
     • If an angle is right, it measures 90 degrees.
     • If an angle measures 90 degrees, it is right.
       ✔️ This option is correct.

2. "Measures 90 degrees if and only if an angle is right."

   • This option is grammatically correct but phrased differently. It reverses the structure but is logically identical to Option 1.
     ✔️ This could also be valid.

3. "If it has a measure of 90 degrees and then angle is right then..."

   • This option is worded awkwardly and doesn’t correctly express a biconditional.

4. "If an angle is not right then it doesn't have a measure of 90 degrees."

   • This is a contrapositive of the original statement, not a biconditional.

The best choices are Option 1 or Option 2. Both express the same biconditional relationship. Depending on your instructor or exam’s phrasing preference, either could be acceptable.

Do you need more details or have any questions?

Five related questions:

1. What is the difference between a conditional and a biconditional statement?
2. How do you form the contrapositive of a conditional statement?
3. What makes two statements logically equivalent?
4. What are some other examples of biconditional statements in geometry?
5. How do you express a converse of a given conditional statement?

Tip:
When constructing biconditional statements, ensure both the conditional and its converse are true.