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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: - Mathematics

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Question

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 

Solution

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°

  Is there an error in this question or solution?
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APPEARS IN

 Selina Solution for Concise Mathematics for Class 10 ICSE (2020 (Latest))
Chapter 17: Circles
Exercise 17(B) | Q: 2.1 | Page no. 265
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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: Concept: Arc and Chord Properties - Angle in a Semi-circle is a Right Angle.
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