Question

if something is an angle, then it is acute. what is an appropriate counterexample?

Explanation:

Step1: Recall the definition of acute angle

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

Step2: Analyze each angle

• For \(120^{\circ}\): Since \(120^{\circ}>90^{\circ}\), it is not an acute angle.
• For \(45^{\circ}\): Since \(0^{\circ}<45^{\circ}<90^{\circ}\), it is an acute angle (not a counter - example).
• For \(70^{\circ}\): Since \(0^{\circ}<70^{\circ}<90^{\circ}\), it is an acute angle (not a counter - example).

Answer:

\(120^{\circ}\)