find the measure of the unknown angle.

Explanation:

Step1: Recall angle - sum property of a circle

The sum of angles around a point is 360°.

Step2: Set up an equation

Let the unknown angle be (x). We have (60^{\circ}+160^{\circ}+x = 360^{\circ}).

Step3: Solve for (x)

First, add the known angles: (60 + 160=220). Then, (x=360 - 220).

Answer:

(140^{\circ})