ICSE Class X Math 2014 Solved Paper
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In the figure, ∠ D B C = 58 ° . B D is a diameter of the circle. Calculate:
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Question : 13
Total: 52
Solution:
In △ BCD ; ∠ DBC = 58 ∘ (given)
∠ BCD = 90 ∘
(Angle in the semicircle asBD is diameter)
∴ ∠ DBC + ∠ BCD + ∠ BDC = 180 ∘
58 ∘ + 90 ∘ + ∠ BDC = 180 ∘
⇒ ∠ BDC = 180 ∘ − ( 90 ∘ + 58 ∘ )
= 180 ∘ − 148 ∘ = 32 ∘
(Angle in the semicircle as
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