Hello!
P = 47°
Arc AB is the intercepted by P
Arc ACB is the remainder of the circle
AB = 360 - ACB
(ACB - AB) / 2 = P
Substitute AB into the second equation and 47 for P
(ACB - (360 - ACB)) / 2 = 47
Multiply both sides by 2
(ACB - (360 - ACB)) = 94
Refine the equation
ACB - 360 + ACB = 94
Combine like terms
2ACB - 360 = 94
Add 360 to both sides
2ACB = 454
Divide both sides by 2
ACB = 227
Put ACB into the first equatoin
AB = 360 - (227) = 133°
The answer is D)133°
Hope this helps!
