Question

Find the value of the variable x. For the circle given to the right, the dot (point) represents the center.

Answer 1

`x=\text{ 42\degree}`

Explanation:

We can find the value of x by using the theorem for inscribed angles, an inscribed angle is an angle with its vertex on the circle, formed by two intersecting chords. It is given by the following equation:

`\text{Inscribed angle=}(1)/(2)\text{ Intercepted arc}`

Therefore,

`\begin{gathered} x=(1)/(2)(84) \\ x=\text{ 42\degree} \end{gathered}`