Answer:
The measure of ∠ABC is 37°
Step-by-step explanation:
Given the circle in which measure of arc AC is 74°
we have to find the measure of ∠ABC
By theorem, the angle subtended at the centre of circle is twice the angle formed at the circumference of circle.
[tex]\angle AOC=2\angle ABC[/tex]
[tex]74^{\circ}=2\angle ABC[/tex]
[tex]\angle ABC=\frac{74}{2}=37^{\circ}[/tex]
The measure of ∠ABC is 37°
Option D is correct.
