What is the value of x? 54 68 56 82

We have been given two secants and their intercepted arc measures and we are asked to find the measure of angle x.

In order to find measure of angle x we will use circle's two intersecting secants from a point theorem. This theorem tells us that measure of an angle  formed by two secants drawn from an outside point equals to half the difference of intercepted arcs.

Now substituting given values in our formula we will get

Therefore, measure of angle x is 54 degrees.