Question

If arc CD=73
degrees, then what is the measure of ∠B
?

(1 point)
degrees
Remaining Attempts : 3

Answer 1

I don't have the diagram, so I need the positions of A, B, C, D (or a picture). Common cases:

- If ∠B is a central angle that subtends arc CD, then m∠B = m(arc CD) = 73°.
- If ∠B is an inscribed angle (vertex on the circle) that intercepts arc CD, then m∠B = 1/2 · m(arc CD) = 1/2 · 73° = 36.5°.
- If ∠B is formed by two chords that intersect inside the circle, m∠B = 1/2 · (sum of the measures of the two intercepted arcs) — you would need the other intercepted arc to compute it.
- If ∠B is formed by two secants/tangents outside the circle, m∠B = 1/2 · (difference of the intercepted arcs) — again you need the other arc.

If you tell me where B is (center, on the circle, inside, outside) or upload the diagram, I’ll give the exact numeric answer.