Question

estimate the measure of this angle within 15°.

Explanation:

Step1: Recall angle types

Acute angles are less than \(90^{\circ}\). Common reference angles: \(30^{\circ}\), \(45^{\circ}\), \(60^{\circ}\).

Step2: Estimate by comparison

The given angle looks larger than \(30^{\circ}\) (which is a'slim' acute angle) and smaller than \(60^{\circ}\) (a'more open' acute angle). A reasonable estimate within \(15^{\circ}\) is \(45^{\circ}\).

Answer:

\(45\)