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Question -

In the figure, if EC || AB, ∠ECD = 70° and ∠BDO = 20°, then ∠OBD is
 
(a) 20°
(b) 50°
(c) 60°
(d) 70°



Answer -

In the figure, EC || AB
∠ECD = 70°, ∠BDO = 20°
 
∵ EC || AB
∠AOD = ∠ECD (Corresponding angles)
⇒ ∠AOD = 70°
In ∆OBD,
Ext. ∠AOD = ∠OBD + ∠BDO
70° = ∠OBD + 20°
⇒ ∠OBD = 70° – 20° = 50° (b)

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