Question

estimate the measure of this angle within 15°.

Explanation:

Step1: Recall angle - type characteristics

Acute angles are less than \(90^{\circ}\). A \(30^{\circ}\) angle is a common acute - angle reference.

Step2: Compare with reference angles

The given angle is larger than a \(15^{\circ}\) angle (a very narrow angle) and smaller than a \(45^{\circ}\) angle (a steeper but still acute angle). A reasonable estimate within \(15^{\circ}\) is \(30^{\circ}\).

Answer:

\(30\)