Question

which of the following best describes ∠abc?
a. vertical angle
b. central angle
c. obtuse angle
d. inscribed angle

Explanation:

• Option A: Vertical angles are formed by intersecting lines and are opposite each other. ∠ABC is not formed this way, so A is incorrect.
• Option B: A central angle has its vertex at the center of the circle. The vertex of ∠ABC is at point B on the circle, not the center, so B is incorrect.
• Option C: An obtuse angle is greater than 90° and less than 180°. ∠ABC is 44°, which is acute, so C is incorrect.
• Option D: An inscribed angle has its vertex on the circle and its sides intersecting the circle. ∠ABC has vertex B on the circle and sides BA, BC intersecting the circle, so it is an inscribed angle.

Answer:

D. Inscribed angle