Question

11 numeric 1 point consider the circle. what is the measure of z? answer 12 numeric 1 point consider the circle. what is the measure of x?

Explanation:

Step1: Recall the arc - angle relationship

The measure of an inscribed angle is half the measure of its intercepted arc. Here, the inscribed angle is \(34^{\circ}\), and the measure of the arc \(z\) (the intercepted arc) is related to the inscribed angle by the formula \(m\angle=\frac{1}{2}m\overset{\frown}{arc}\).

Step2: Solve for the measure of arc \(z\)

If \(m\angle = 34^{\circ}\), then \(m\overset{\frown}{z}=2\times m\angle\). Substitute \(m\angle = 34^{\circ}\) into the formula: \(m\overset{\frown}{z}=2\times34^{\circ}\).

Answer:

\(68\)