Question

What is the measure of ABC? A) 53 B) 74 C) 148 D) 37

Answer 1

Answer: 37 Apex

Step-by-step explanation:333333337777777777

Answer 2

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.

$\angle AOC=2\angle ABC$

$74^{\circ}=2\angle ABC$

$\angle ABC=\frac{74}{2}=37^{\circ}$

The measure of ∠ABC is 37°

Option D is correct.