Prove Inscribed angle theorem
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Step-by-step explanation:
To prove α = 2θ:
△ CBD is an isosceles triangle whereby CD = CB = the radius of the circle. Therefore, ∠ CDB = ∠ DBC = inscribed angle = θ The diameter AD is a straight line, so ∠BCD = (180 – α) ° By triangle sum theorem, ∠CDB + ∠DBC + ∠BCD = 180°
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