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 \(180^{\circ}\), and a straight angle is \(180^{\circ}\). The given angle is obtuse.

Step2: Estimate the measure

We know that \(180^{\circ}\) is a straight line. If we divide the space between \(90^{\circ}\) and \(180^{\circ}\) into parts. By visual inspection, the angle seems to be around \(150^{\circ}\) (since it is much larger than \(90^{\circ}\) but not close to \(180^{\circ}\)).

Answer:

\(150^{\circ}\)