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प्रश्न
In the given figure, OB is perpendicular to OA and ∠BOC = 49°. Find ∠AOD.
बेरीज
उत्तर
Given that ∠AOB = 90° ......[∵ OB ⊥ OA]
⇒ ∠BOC + ∠COA = 90°
⇒ ∠COA = 90° – 49° ......[∵ ∠BOC = 49° (given)]
⇒ ∠COA – 41° ......(i)
Now, CD is a straight line.
∴ ∠AOD + ∠AOC = 180° ......[Linear pair]
⇒ ∠AOD = 180° – 41° ......[Using (1)]
∴ ∠AOD = 139°
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