Question

Given: is a diameter

m 1 = 100°
m BC= 30°

m AC=

60
110
200

Answer 1

110

Explanation:

2=80 and 3=30

2+3=ac=110

Answer 2

Option B. 110°

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.