Question

estimate the measure of this angle within 15°.

Explanation:

Step1: Recall angle types

An acute angle is less than \(90^{\circ}\), a right angle is \(90^{\circ}\), an obtuse angle is between \(90^{\circ}\) and \(180^{\circ}\). This angle is obtuse.

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

We know that \(135^{\circ}\) is a common obtuse - angle estimate. Let's check: \(135 - 15=120\) and \(135 + 15 = 150\). Visually, the angle is larger than \(90^{\circ}\) but not close to \(180^{\circ}\). A reasonable estimate within \(15^{\circ}\) is \(135^{\circ}\) (since \(120^{\circ}<\text{angle}<150^{\circ}\) based on visual inspection of the obtuse - angle's openness).

Answer:

\(135^{\circ}\)