Question

estimate the measure of this angle within 10°.

Explanation:

Step1: Identify the angle type

The angle is obtuse (greater than 90° and less than 180°). A right angle is 90°, and this angle looks like it's about 120° (since it's 30° more than a right angle, and within 10° of 120°).

Step2: Estimate the measure

Visually, comparing to a right angle (90°), the given angle is wider. A 120° angle is 30° from 90° and 60° from 180°, which matches the visual appearance here (not too close to 90° or 180°).

Answer:

The estimated measure of the angle is \( 120^\circ \) (within \( 10^\circ \) of the actual measure, so values like \( 110^\circ \) to \( 130^\circ \) are also reasonable, but \( 120^\circ \) is a common estimate).