Given: is a diameter m 1 = 100° m bc= 30° m ac= 60 110 200

Option B. 110°

Step-by-step explanation:

In the given circle m ∠1 = 100°

m BC = 30°

Then we have to find the measure of m AC

Since ∠1 = 100°

and ∠1 + ∠2 = 180° [supplementary angles]

100 + ∠2 = 180°

∠2 = 180° - 100°

∠2 = 80°

Now we know ∠3 = 15°

and m AC = ∠2 + ∠3

m AC = 80 + 30 = 110°

Therefore, Option B. 110° will be he answer.