In cyclic quadrilateral ABCD, If `angleA=120^(@), "then the circular value of "angleC` is

Options

A. `(pi)/(3)`
B. `(pi)/(6)`
C. `(pi)/(2)`
D. `(2pi)/(3)`

Explanation

`(pi)(3)`
Here, `angle A "and" angleC "are opppsite angles of the cyclic quadrilateral ABCD". therefore angle A+angle C=180^(@)`
or , `120^(@)+angleC=180^(@) " "or , angle C=180^(@)-120^(@)=60^(@)`
` therefore " "angleC=60^(@)xx(pi)/(180^(@))=(pi)/(3)`.
Hence the required circular value `=(pi)/(3).`