Naomi has 45 minutes to get ready for school. she spends x minutes getting dressed.

25°

Step-by-step explanation:

The intersection angle = 93 degrees. It can be found by adding the large arc (161) + the small arc (unknown) and dividing the sum by 2.

So lets be a little formal here.

Arc BC = 161

x = 93

Arc AD = ?

x = (Arc AD + Arc(BC))/2

93 = (ArcAD + 161) / 2         Multiply both sides by 2

93*2 = (arc AD + 161

186 = arc AD + 161             Subtract 161 from both sides

186 - 161 = arc AD

25 = arc AD