Answer:
m<AEB = 46°
Step-by-step explanation:
Given:
Arc AD = 161°
Arc BC = 107°
Required:
m<AEB
Solution:
Vertex angle = ½(sum of intercepted arcs) => Theorem for angle inside a circle and its intercepted arcs)
This:
m<AED = ½(AD + BC)
m<AED = ½(161 + 107) => Substitution
m<AED = ½(268) = 134°
✔️m<AEB = 180° - m<AED => Linear pair theorem
m<AEB = 180° - 134° => substitution
m<AEB = 46°
