Respuesta :

Answer:

arc AM = 114°

Step-by-step explanation:

the measure of a tangent- chord angle is half the measure of its intercepted arc, that is

∠ MAC = [tex]\frac{1}{2}[/tex] (AM )

57° = [tex]\frac{1}{2}[/tex] AM ( multiply both sides by 2 to clear the fraction )

114° = AM