Question

visit www.bigideasmathvideos.com to watch the flipped video instruction for the \try this\ problem(s) below. try this video for extra example 5 - writing a biconditional statement 9) rewrite the following definition of complementary angles as a single biconditional statement. definition: if two angles are complementary, then the sum of the measures of the angles is 90°.

Explanation:

Step1: Identify conditional and converse

The given definition is a conditional statement: If two angles are complementary, then the sum of the measures of the angles is $90^\circ$. Its converse is: If the sum of the measures of two angles is $90^\circ$, then the angles are complementary.

Step2: Combine into biconditional

A biconditional statement merges a conditional and its converse using "if and only if".

Answer:

Two angles are complementary if and only if the sum of the measures of the angles is $90^\circ$.