Question

what is the measure of arc ab in circle f? 72°, 148°, 92°, 200°

Explanation:

Step1: Recall circle - arc property

The sum of the measures of the arcs of a circle is 360°.

Step2: Identify known arcs

We know one arc is 40° and another is 120°.

Step3: Calculate arc EAB

Let the measure of arc EAB be \(x\). Then \(x+40^{\circ}+120^{\circ}=360^{\circ}\), so \(x = 360^{\circ}-(40^{\circ}+120^{\circ})=200^{\circ}\).

Answer:

200°