ICSE Class X Math 2014 Solved Paper

In the figure, ∠DBC=58°.BD is a diameter of the circle. Calculate:

Question : 14

Total: 52

∠BEC

Solution:

∠BEC+∠BDC=180∘
( ∵ BECD is a cyclic quadrilateral)
∠BEC‌=180∘−∠BDC
‌=180∘−32∘
∠BEC‌=148∘

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