Question

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

Answer 1

The measure of ∠ABC is 37°

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=(74)/(2)=37^(\circ)`

The measure of ∠ABC is 37°

Option D is correct.