Question

estimate the measure of this angle within 10°.

Explanation:

Step1: Recall angle types

A straight - angle is \(180^{\circ}\). An obtuse angle is between \(90^{\circ}\) and \(180^{\circ}\).

Step2: Estimate the angle

The given angle is obtuse. By visual comparison (e.g., thinking of common angles like \(120^{\circ}\), \(130^{\circ}\), \(140^{\circ}\), \(150^{\circ}\)), and considering the "within \(10^{\circ}\)" requirement. If we assume a rough split of the straight - angle region, this angle looks close to \(150^{\circ}\) (since \(180 - 30=150\), and the non - straight part seems about a sixth of the straight - angle's "openness", and \(\frac{180}{6} = 30\)).

Answer:

\(150^{\circ}\)