Question

1. two statements are given. use these statements to form a biconditional statement, if possible. if not possible, explain why. if two angles are complementary, then their measures add up to 90 degrees. if two angle measures add up to 90 degrees, then they are complementary.

Explanation:

Step1: Recall biconditional statement form

A biconditional statement is of the form "p if and only if q", where p and q are statements and the conditional and its converse are both true.

Step2: Identify the statements

Let p be "two angles are complementary" and q be "their measures add up to 90 degrees". The first given statement is "if p then q" and the second is "if q then p".

Step3: Form the biconditional

Since both the conditional and its converse are true, we can form the biconditional statement.

Answer:

Two angles are complementary if and only if their measures add up to 90 degrees.