हिंदी

In the Given Figure, the Centre O of the Small Circle Lies on the Circumference of the Bigger Circle. If ∠Apb = 75° and ∠Bcd = 40°, Find : ∠Adb - Mathematics

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प्रश्न

In the given figure, the centre O of the small circle lies on the circumference of the bigger circle. If ∠APB = 75° and ∠BCD = 40°, find :  ∠ADB  

योग
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उत्तर

Join AB and AD

In cyclic quadrilateral AOBD,

∠ADB = 180° - ∠AOB = 180° -150° = 30° 

(pair of opposite angles in a cyclic quadrilateral are supplementary)

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