QUESTION 8
We can edit the image as follows:
Recall: The Tangent-Chord Theorem states that the angle formed between a chord and a tangent line to a circle is equal to the inscribed angle on the other side of the chord. That is why we have x where it is.
Note that the angle subtended by a chord to the center of a circle is twice the angle at the circumference.
The angle subtended by the chord to the center is gotten by:
[tex]\Rightarrow360-165=195[/tex]
Therefore, we have that:
[tex]\begin{gathered} x=\frac{195}{2} \\ x=97.5\degree \end{gathered}[/tex]
