Question

estimate the measure of this angle within 15°.

Explanation:

Step1: Recall angle types

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

Step2: Estimate based on common angles

A \(45^{\circ}\) angle (half - way between \(0^{\circ}\) and \(90^{\circ}\)) is a reference. The given angle is larger than \(30^{\circ}\) (a common small acute angle) but less than \(60^{\circ}\).

Answer:

\(45^{\circ}\) (answers can range from \(30^{\circ}\) to \(60^{\circ}\) as per the \(15^{\circ}\) tolerance requirement, \(45^{\circ}\) is a reasonable estimate)