Statement: The opposite angles of a cyclic quadrilateral are supplementary.
Construction of figures:
Two circles of different radii with center 'O' are drawn. In each circle, a cyclic quadrilateral ABCD is drawn.
To verify:
i) ABC + ADC = 180°
ii)BAD + BCD = 180°
Method of verification:
By using a protractor, ABC, ADC, BAD, and BCD are measured and the results are tabulated below.
Figure | ABC | ADC | ABC + ADC | BAD | BCD | BAD + BCD | Results |
(i) | 78° | 102° | 180° | 79° | 101° | 180° |
ABC+ADC=180° BAD+BCD=190° |
(ii) | 90° | 90° | 180° | 84° | 96° | 180° |
ABC+ADC=180° BAD+BCD=190° |
Hence, The opposite angles of a cyclic quadrilateral are supplementary.
Verified