Question

what would be a counterexample of the following statement? \if an angle is an acute - angle, then its measure is 37\. 90° 180° 45° 98° clear my selection

Explanation:

Step1: Define acute - angle

An acute - angle is an angle whose measure is between \(0^{\circ}\) and \(90^{\circ}\).

Step2: Analyze each option

A \(90^{\circ}\) angle is a right - angle, not acute. A \(180^{\circ}\) angle is a straight - angle, not acute. A \(45^{\circ}\) angle is acute (\(0^{\circ}<45^{\circ}<90^{\circ}\)). A \(98^{\circ}\) angle is an obtuse - angle (\(90^{\circ}<98^{\circ}<180^{\circ}\)), and it is a counterexample to the statement “If an angle is an acute angle, then its measure is \(37^{\circ}\)” since it is an angle that is acute (false antecedent in the conditional statement) but not \(37^{\circ}\).

Answer:

\(98^{\circ}\)