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 \(90^{\circ}\), and an obtuse angle is greater than \(90^{\circ}\) but less than \(180^{\circ}\). The given angle is obtuse.

Step2: Estimate the measure

We know that \(90^{\circ}<\text{angle measure}<180^{\circ}\). By visual comparison (e.g., thinking of common - angle benchmarks like \(90^{\circ}\), \(120^{\circ}\), \(150^{\circ}\)), the angle appears to be around \(110^{\circ}\) (since it is more open than \(90^{\circ}\) but not as open as \(120^{\circ}\) when making a rough estimate within \(10^{\circ}\)).

Answer:

\(110\)