Question

1. rewrite the statements as a single biconditional statement. see example 5 if a polygon has three sides, then it is a triangle. if a polygon is a triangle, then it has three sides. if an angle is obtuse, then it has a measure between 90° and 180°. if an angle has a measure between 90° and 180°, then it is obtuse.

Explanation:

Step1: Recall biconditional statement form

A biconditional statement is of the form "p if and only if q", which combines "if p then q" and "if q then p".

Step2: Combine first - set of statements

For the polygon - triangle statements, the biconditional is "A polygon is a triangle if and only if it has three sides."

Step3: Combine second - set of statements

For the angle - measure statements, the biconditional is "An angle is obtuse if and only if it has a measure between 90° and 180°."

Answer:

1. A polygon is a triangle if and only if it has three sides.
2. An angle is obtuse if and only if it has a measure between 90° and 180°.