Proof of Inscribed Angle Property

Author:
Julia
Because the sum of all the interior angles of a quadrilateral is 360°, central ∠=σ=ε+ζ +δ+ν But ∆OBC and ∆OCD are isosceles triangles. Therefore, ε=ζ and δ=ν Therefore, inscribed ∠= ζ+ δ= 1/2 * σ =1/2 * (central ∠)