Given: is a diameter
m 1 = 100°
m BC= 30°
m AC=
60
110
200

Answer:
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.