Question

WILL MARK BRANLIEST! Find the measure of

Answer 1

Answer:

measure of ∠ABC  is 96°

Step-by-step explanation:

Given:

Arc AC = 192°

We need to find the ∠ABC

Solution:

From the given figure we can see that.

∠ABC is angle which is inscribed in a circle and subtended by an arc AC.

Now Inscribe angle theorem which states that;

"When an angle is inscribed in the circle is equal to half of the angle of the central angle subtended by the same arc."

So we can say that;

∠ABC = $\frac{1}{2}$ Arc AC

∠ABC = $\frac{1}{2}\times 192 =96\°$

Hence measure of ∠ABC  is 96°