Answer:
313°
Step-by-step explanation:
We want to find the measure of the major arc BAC, which we notice is actually made up of multiple arcs: AED, BA, and CD. So we can write this as:
arc BAC = arc BA + arc AED + arc CD
We already know that arc CD = 76 degrees. We also know that the angle AFB is 57 degrees. Notice that AFB is a central angle, so by definition of central angles and their corresponding arcs, angle AFB is equal to the measure of arc BA. So, arc BA = 57 degrees.
Finally, look at arc AED. This is a semicircle, so by definition, it is 180 degrees. Now plug all these values into the equation:
arc BAC = arc BA + arc AED + arc CD
arc BAC = 57 + 180 + 76 = 313
The answer is 313°.
