Question

If angle BOC = 100 degree, then find x from given figure

Answer 1

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Answer 2

x = 130° If angle BOC = 100° in given figure

Step-by-step explanation:

∠A + x  = 180°  (sum of opposite  angle of cyclic quadrilateral)

∠BAC = ∠BOC / 2   ( angle subtended by chord at center and arc segment)

=> ∠BAC = 100/2

=> ∠BAC = 50°

=> ∠A = 50°

∠A + x  = 180°

=> 50° + x  = 180°

=> x = 130°

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