Question

I need help on in the answer to this problem

Answer 1

Using the circle theorem for the intersection of a tangent and a chord:

An angle formed by a chord and a tangent that intersect on a circle is half the measure of the intercepted arc.

Using the theorem, we can write:

`94^0\text{ = }(1)/(2)\text{ }* x`

Solving for x:

`\begin{gathered} x\text{ = 2 }*94 \\ x=188^0 \end{gathered}`

Similarly, we can write:

`\begin{gathered} \text{z = 2}*(180-94) \\ z\text{ = 2 }*86 \\ z=172^0 \end{gathered}`

Answer:

z = 172 degrees