therefore this forms an isosceles triangle inside the circle. Also, note that since triangle AOB is isosceles, then \(\angle OAB=\angle OBA\). \(\angle AOC\) is a straight angle, so will add up to ...
When calculating angles using a circle theorem, always state which theorem ... so with the chord they form an isosceles triangle. Angles in a triangle add up to 180°.
The diameter of the circle is given an arbitrary ... determines the length of a side of each triangle, relative to the diameter, based on the angle opposing the side being measured.