Question

given that angle x is central angle, find the value of x

Answer 1

To determine the measure of the central angle you have to keep the following properties in mind:

- The measure of the intercepted arc of an angle that has its vertex on the circle is twice the measure of the angle.

-The measure of an angle with a vertex on the center of the circle is equal to the measure of the intercepted arc.

The intercepted arc for both angles is the same so that:

So, you can determine the value of x as follows:

$\begin{gathered} xº=2\cdot60º \\ xº=120º \end{gathered}$

The value of x is 120º