Find the measure of arc ac.
angle c=57
arc bc=114
formula is 360 -57 - 114 =189/2=94.5 for ac ?

There is a theorem that states that the arc of an inscribed angle(one that has its vertex on the circle, point C) is 2 times its measure. So therefore arc AB would be Angle C x 2 = 57 * 2 = 144.

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In the first triangle 80+20+p=180 (since sum of all angles of a triangle is 180)so p= 80also in second triangle 55+45+q=180 (since sum of all angles of a triangle is 180)so q=80so we can conclude that p=80 degrees q=80 degrees so p=q=80 degreeshence option b is correct