Find the measure of arc AC, please show the work.

Answer:
100°
Step-by-step explanation:
ARC AC is DOUBLE of the angle ABF (inscribed angle theorem).
The sum of 3 angles in a triangle is 180°.
Now, in Triangle ABF, AFB = 25, BAF = 105. that leaves us with angle ABF (or B). Thus, we can write:
AFB + BAF + ABC = 180
25 + 105 + ABF = 180
130 + ABF = 180
ABF = 180 - 130 = 50 (Angle B)
We know Arc AC is double of Angle ABF, so Arc AC = 2 * 50 = 100.
Arc AC = 100°
Answer:
The correct answer is,
mAC = 100°
Step-by-step explanation:
From the figure we get,
m<AFB = 25° and m<BAF = 105°
We can write,
m<AC = 2 * <ABC
To find the value of m<ABC
m<ABC = 180 - ( m<AFB + m<BAF) angle sum property
= 180 - ( 25 + 105)
= 180 - 130 = 50
m<ABC = 50°
To find the value of mAC
mAC = 2 * m<ABC = 2 * 50 = 100°
Therefore correct answer is mAC = 100°