Question

estimate the measure of this angle within 10°.

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 the measure

We know that \(90^{\circ}<\text{angle}<180^{\circ}\). By visual comparison (e.g., thinking of common angles like \(120^{\circ}\) which is \(90 + 30\), \(135^{\circ}\) which is \(90+45\), \(150^{\circ}\) which is \(90 + 60\)). This angle looks closer to \(120^{\circ}\) (since \(120^{\circ}-10^{\circ}=110^{\circ}\) and \(120^{\circ}+10^{\circ}=130^{\circ}\), and the angle's opening is not as large as \(135^{\circ}\) or \(150^{\circ}\)).

Answer:

\(120\)