Question

unit exam - circles

find the value of z.

\\(z = ?^\circ\\)

Explanation:

Relate the inscribed angle to its intercepted arc

$$ \text{Intercepted Arc} = 2 \times 83^\circ = 166^\circ $$

Set up the equation for the intercepted arc

$$ 70^\circ + z = 166^\circ $$

Solve for z

$$ z = 166^\circ - 70^\circ = 96^\circ $$

Answer:

Find the value of z.
\(z =\) <blank>96</blank>\(^\circ\)