Question

estimate the measure of this angle within 15°.

Explanation:

Step1: Recall angle types

Acute angles are less than \(90^{\circ}\), right - angles are \(90^{\circ}\), obtuse angles are between \(90^{\circ}\) and \(180^{\circ}\). This angle is acute.

Step2: Estimate within \(15^{\circ}\)

A \(45^{\circ}\) angle is a common reference. This angle looks smaller than \(45^{\circ}\). A \(30^{\circ}\) angle is a reasonable estimate (since \(30^{\circ}\) is an acute angle and \(30^{\circ}\pm15^{\circ}\) gives a range from \(15^{\circ}\) to \(45^{\circ}\) which fits the visual of the angle).

Answer:

\(30\)