Answer:
87.5°
Step-by-step explanation:
So we know that the arc CD is 175°. This is the same thing as saying that the measure of the central angle, ∠CAD, is 175°. By the Inscribed angle theorem, we know that the measure of the inscribed angle, ∠DBC, is half of the measure of the central angle, ∠CAD. So:
m∠DBC = m∠CAD × 1/2
m∠DBC = 175/2
m∠DBC = 87.5
So the measure of ∠DBC would be 87.5°. Answer choice 2 would be correct.
I hope you find my answer and explanation to be helpful. Happy studying.
