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In the following figure, AD is the diameter of the circle with centre O. Chords AB, BC and CD are equal. If ∠DEF = 110°, calculate: ∠AEF - Mathematics

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प्रश्न

In the following figure, AD is the diameter of the circle with centre O. Chords AB, BC and CD are equal. If ∠DEF = 110°, calculate: ∠AEF

योग
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उत्तर


Join AE, OB and OC

∵ AOD is the diameter,

∴ ∠AED = 90°   ...[Angle in a semi-circle]

But ∠DEF = 110°  ...[Given]

∴ ∠AEF = ∠DEF – ∠AED

= 110° –  90°

= 20°

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