Given:
Given that O is the circle.
The inscribed angle is ∠AZB.
The central angle is ∠AOB.
The intercepted arc is AB = 68°
We need to determine the measure of ∠AZB.
Measure of ∠AZB:
The measure of ∠AZB can be determined using the inscribed angle theorem.
Applying the theorem, we have;
[tex]m \angle AZB=\frac{1}{2}(m \widehat{AB})[/tex]
Substituting the values, we get;
[tex]m \angle AZB=\frac{1}{2}(68^{\circ})[/tex]
Dividing, we get;
[tex]m \angle AZB=34^{\circ}[/tex]
Thus, the measure of ∠AZB is 34°
Hence, Option D is the correct answer.
