Question

estimate the measure of this angle within 15°.

Explanation:

Step1: Recall angle types

Acute angles are less than \(90^{\circ}\), right angles are \(90^{\circ}\), obtuse angles are between \(90^{\circ}\) and \(180^{\circ}\). This angle is obtuse.

Step2: Estimate within \(15^{\circ}\)

A \(90^{\circ}\) angle is a right - angle (like a corner of a square). A \(180^{\circ}\) angle is a straight line. This angle is more than \(90^{\circ}\). If we consider common angle benchmarks: \(90^{\circ}+ 45^{\circ}=135^{\circ}\). This angle looks similar to \(135^{\circ}\) (since \(135^{\circ}-90^{\circ} = 45^{\circ}\), and the spread from the right - angle part seems about \(45^{\circ}\)).

Answer:

\(135^{\circ}\)