Question

In the diagram below, mABC= 268°.

What is the number of degrees in the measure of
ZABC?
1) 134°
2) 92°
3) 68°
4) 46°

Answer 1

(4)

Explanation:

As the circumference of a circle measures 360 degrees, minor arc AC measures 360-268=92 degrees.

By the inscribed angle theorem, angle ABC measures 46 degrees.