Question

Find the measure of both arc AB and arc APB, where <APB = 108◦.  Please be sure to show your steps.

Can someone please help me. I'm not asking for the answer, just how to find it. id appreciate it a lot. thanks!

Answer 1

Answer: If angle APB is 108, then the corresponding arc measurement is always twice that amount. 

108 x 2 = 216 degrees for arc measure AB. 

Now to find the remaining arc measurement of the circle, we would subtract the measure of AB from 360.

360 - 216 = 144 degree for arc APB

(The picture must not be drawn to scale or you have a typo in the problem)