Question

I’ve been stuck in this i’ve been thinking it’s 104 but it says it’s not

Answer 1

AD is a diameter, then AFD = 180 deg

BFC = 180 - BFA - CFD = 180 - 57 -76 = 47 deg

BAC = (1/2)BFC = (1/2) x 47 =23.5 deg

Hope this helps!

:)

Answer 2

313°

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°.