Question

1. what does the biconditional statement of the original statement: \if two angles are complementary, then their measures sum to 90 degrees.\ look like? if their measures do not sum to 90 degrees, then two angles are not complementary. two angles are complementary if their measures sum to 90 degrees. two angles are complementary, then their measures sum to 90 degrees. two angles are complementary if and only if their measures sum to 90 degrees.

Explanation:

A biconditional statement combines a conditional statement and its converse using "if and only if". The original statement is "If two angles are complementary, then their measures sum to 90 degrees". Its converse is "If their measures sum to 90 degrees, then two angles are complementary". Combining them gives the biconditional.

Answer:

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