Question

estimate the measure of this angle within 15°.

Explanation:

Step1: Recall angle - type characteristics

An acute angle is between \(0^{\circ}\) and \(90^{\circ}\). A right - angle is \(90^{\circ}\), and an obtuse angle is between \(90^{\circ}\) and \(180^{\circ}\). This angle is acute.

Step2: Make an estimate

We know that \(45^{\circ}\) is a common acute - angle benchmark. This angle looks larger than \(30^{\circ}\) (a common small acute angle) and smaller than \(60^{\circ}\). Since we need to estimate within \(15^{\circ}\), and \(45^{\circ}\) is a well - known angle for estimation.

Answer:

\(45\)