Given: □ABCD is a cyclic quadrilateral.
To prove: ∠ BAD+∠BCD = 180°, ∠ABC+∠ADC = 180°
⇒ …(I) [inscribed angle theorem]
⇒ …(ii) [Inscribed angle theorem]
Adding equations (I) and (ii), we get
⇒ …. [Measures of a circle is 360°]
Hence, the opposite angles of a cyclic Quadrilateral are supplementary.
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