Question

Why does nobody talk to circles?

Because there is no point.

Ah but within one particular circle theorem there are points within the circle in the shape of a quadrilateral.

One of the circle theorems is about angles in a cyclic quadrilateral.

Lets investigate

The facts

In the example 76 + 104 = 180° and 92 + 88 = 180°

Remember also that angles in a quadrilateral also add up to 360°:

The quadrilateral has to fill the circle. i.e all four points have to touch the circumference

As ever in these investigations you will be asked to recall other angle properties.