Practicing Success
In ΔABC, AB = AC, O is a point at BC such that BO = OC and OD is perpendicular to AB and OE is perpendicular to AC. If ∠BOD = 40°, then the measure of ∠AOE is ? |
50° 75° 60° 90° |
50° |
In ΔBOD ∠DBO = 180° - 90° - 40° = 50° AB = AC ∴ ∠ABO = ∠ACO = 50° In ΔCOE ∠EOC = 180° - 50° - 90° = 40° ∠DOE = 180° - 80° = 100° \(∠AOE=\frac{100°}{2}=50°\) |