Question

IF A KIND PERSON COULD HELP ME OUT I WOULD GREATLY APPRECIATE IT!!!!!

The center of the circle in the figure is at O. Determine the measure of < ABC. SHOW YOUR WORK so I can see if the answer makes sense. (no links as answers)

Answer 1

28°

Explanation:

We need to consider that the angle subtended by an arc is twice the angle subtended by it on the circumference.

We know that ∠AOC = 56°. So we get ∠AOC = 2 ∠ABC. We can write this as ∠ABC = ∠AOC / 2.

∠ABC = 56° / 2 = 28°.