In the figure, AB and AD are tangents. O is the centre of the circle. Angle AOB=80°. Find angle BOD and angle BCD?
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∠BOD = 160° AB and AD are tangents. O is the centre of the circle. Angle AOB=80°
Step-by-step explanation:
AB and AD are tangents. O is the centre of the circle
∠AOB = 80°
∠ABO = 90° ( as AB is tangent to circle)
Comparing Triangle
ΔABO & ΔADO
OB = OD Radius
OA = OA ( common)
∠ABO = ∠ADO = 90°
=> ΔABO ≅ ΔADO
=>∠AOD = ∠AOB = 80°
∠BOD = ∠AOB + ∠AOD
=> ∠BOD = 80° + 80°
=> ∠BOD = 160°
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