Show your calculations and explanation of the steps you took to find your answers.

Question

Answer 1

The main theorem to use here is that the measure of an intercepted arc is equal to the measure of the centrall angle that intercepts it.

The measure of AC is equal to the measure of the central angle (60)

The measure of ABC is equal to 360 degrees - measure of AC = 360 - 60 = 300

The measure of angle BPD is 60 because it is a vertical angle with angle APC.

The measure of DAC is 120 + 60 + 60 = 240.