In the following figure, AB be diameter of a circle whose

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In the following figure, AB be diameter of a circle whose centre is O. If ∠AOE = 150°, ∠DAO = 51° then the measure of ∠CBE is :

1. 115°
2. 110°
3. 105°
4. 120°

Correct Option: C

According to given figure in question ,

Given , ∠AOE = 150°, ∠DAO = 51°
∴ ∠EOB + ∠AOE = 180°
∠EOB = 180° – 150° = 30°
OE = OB
∴ ∠OEB = ∠OBE = 150 ÷ 2 = 75°
∴ ∠CBE = 180° – 75° = 105°