Q. 4 A5.0( 4 Votes )

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Answer :

Given: □ABCD is a cyclic quadrilateral.

To prove: BAD+BCD = 180°, ABC+ADC = 180°



Proof:


…(I) [inscribed angle theorem]


…(ii) [Inscribed angle theorem]


Adding equations (I) and (ii), we get




…. [Measures of a circle is 360°]



In □ABCD,





Hence, the opposite angles of a cyclic Quadrilateral are supplementary.


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