Question

If mAB⌢=68∘, what is m∠AZB?

Answer 1

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;

`m \angle AZB=(1)/(2)(m \widehat{AB})`

Substituting the values, we get;

`m \angle AZB=(1)/(2)(68^(\circ))`

Dividing, we get;

`m \angle AZB=34^(\circ)`

Thus, the measure of ∠AZB is 34°

Hence, Option D is the correct answer.