Question

1. If arc AE= 60 degrees, arc AFB= 140 degrees, and arc DE= 110 degrees, what is the measure of angle 2?
2. If arc FB= 40 degrees and arc BD= 10 degrees, what is the measure of angle 3?

Answer 1

1) determine the measure of arc BD, first.
arc BD = 360 - (140+60+110) = 360 - 310 = 50
so,
<2 = 1/2 * (arc AE - arc BD) = 1/2 * (60 - 50) = ....

Answer 2

1/2 (60 - 50) = 1/2 * 10 = 10/2 = 5