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In the Given Figure, Ac is the Diameter of the Circle with Centre O. Cd and Be Are Parallel. Angle ∠Aob = 80° and ∠Ace = 10°. Calculate: Angle Bec, - Mathematics

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Question

In the given figure, AC is the diameter of the circle with centre O. CD and BE are parallel. Angle ∠AOB = 80° and ∠ACE = 10°.

Calculate :  Angle BEC,

Solution

∠BOC = 180° - 80° = 100° (Straight line)

And ∠BOC = 2∠BEC

(Angle at the centre is double the angle at the circumference subtended by the same chord)

⇒ ∠BEC = `(100°)/2 = 50°`

  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(A) | Q: 44.1 | Page no. 261
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In the Given Figure, Ac is the Diameter of the Circle with Centre O. Cd and Be Are Parallel. Angle ∠Aob = 80° and ∠Ace = 10°. Calculate: Angle Bec, Concept: Arc and Chord Properties - the Angle that an Arc of a Circle Subtends at the Center is Double that Which It Subtends at Any Point on the Remaining Part of the Circle.
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