Question

calculate the measure of ∠b. circle your answer.

Explanation:

Step1: Recall angle sum around a point

A full circle is \(360^\circ\), and we have two angles of \(39^\circ\) and \(\angle b\). So \(39^\circ + 39^\circ+\angle b = 360^\circ\)? Wait, no, maybe it's a straight line? Wait, the diagram: if two angles of \(39^\circ\) and \(\angle b\) around a point. Wait, maybe the angles on a straight line? No, the sum around a point is \(360^\circ\), but maybe the two \(39^\circ\) angles and \(\angle b\) form a full circle? Wait, no, maybe the angle \(\angle b\) is the reflex angle. Wait, let's re-express: the sum of angles around a point is \(360^\circ\). So if two angles are \(39^\circ\) each, then \(\angle b=360^\circ - 39^\circ - 39^\circ\).

Step2: Calculate \(\angle b\)

\(\angle b = 360^\circ - 39^\circ - 39^\circ = 360^\circ - 78^\circ = 282^\circ\)

Answer:

\(282^\circ\)