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 \(180^{\circ}\). The given angle is acute.

Step2: Use reference angles

We know that \(45^{\circ}\) is a common reference angle. The given angle is larger than \(30^{\circ}\) (a common acute - angle benchmark) and smaller than \(60^{\circ}\).

Answer:

\(60\) (Since the angle is estimated within \(15^{\circ}\) and is an acute angle, a reasonable estimate is \(60^{\circ}\))