ICSE Class 9 Answered

O is the centre of the circle and angle DAB = 50, calculate the valus of x and y ? ( pls experts ans urgently )

Asked by nisha_vini29 | 26 Feb, 2016, 11:22: AM

Expert Answer

Quadrilateral space space ABCD space is space cyclic space quadrilateral therefore angle straight A space plus space angle straight C space equals space 180 degree 50 degree space plus space straight y space equals 180 degree straight y space equals space 130 degree In space increment AOB OA space equals space OB space left parenthesis radii space of space circle right parenthesis angle OAB space equals space angle OBA angle OBA space equals space 50 degree..... left parenthesis 1 right parenthesis angle OAB space plus space angle OBA space plus space angle AOB space equals space 180 degree space space space space left parenthesis Angle space sum space property right parenthesis 50 degree space plus space 50 degree space plus space angle AOB space equals space 180 degree................. space from space left parenthesis 1 right parenthesis angle AOB space equals space 80 degree........... left parenthesis 2 right parenthesis angle AOB space plus space angle BOD space equals space 180 degree space space left parenthesis Linear space pair space angles right parenthesis 80 degree space space plus space straight x space equals space 180 degree................. space from space left parenthesis 2 right parenthesis straight x space equals space 100 degree Value space of space straight x space equals space 100 degree space space and space straight y space equals space 130 degree

Answered by Vijaykumar Wani | 26 Feb, 2016, 11:33: AM

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