Answer:  ∠1 = 52°, ∠4 = 40°, ∠7 = 100°, ∠10 = 49°, ∠13 = 65°
Step-by-step explanation:
There are three formulas you need to find the angles. Each formula is based on where the vertex lies.
On the circle: Measure of the angle = (1/2) the arc
∠4 = (1/2)°80       ∠10 = (1/2)(18° + 80°)      ∠13 = (1/2)130°
  = 40°              = (1/2)98°               = 65°
                    = 49°
Inside the circle: (1/2) Sum of the Big arc and Little Arc
∠7 = (1/2) (130° + 70°)
  = (1/2)200°
  = 100°
Outside the circle: (1/2) Difference of the Big arc and Little Arc
∠1 = (1/2)[(62° + 130°) - (70° + 18°)]
  = (1/2) (192° - 88°)
  = (1/2)104°
  = 52°
Below is the solution for ALL of the angles
