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CBSE Class 9 Answered

begin mathsize 12px style In space the space figure comma space ABCD space is space straight a space cyclic space quadrilateral comma space angle CBO equals 48 degree space and space straight a equals 2 straight b. space Calculate space the space numerical space value space of space straight b. space end style
Asked by Topperlearning User | 04 Oct, 2017, 01:34: PM
answered-by-expert Expert Answer

begin mathsize 12px style In space increment space BCO
angle space DCB space equals space 48 degree space plus space straight b space space space space space space space space space space space space space left parenthesis space External space angle space equal space to space sum space of space interior space opposite space angles right parenthesis
In space increment space APB comma
angle space ABP space equals space angle space CBO space equals space 48 degree space space space left parenthesis Vertically space opposite space angles right parenthesis
angle space DAB space equals space angle space ABP space plus space straight a space space space space space space space space space left parenthesis space External space angle space equal space to space sum space of space interior space opposite space angles right parenthesis
angle space DAB space equals space 48 degree space plus space straight a
Now comma space in space cyclic space quadrilateral space ABCD
angle space DCB space plus space angle space DAB space equals space 180 degree space space space space left parenthesis Opposite space angles space of space straight a space cyclic space quadrilateral space are space supplementary right parenthesis
rightwards double arrow space 48 degree space plus space straight b space plus space 48 degree space plus space straight a space equals space 180 degree
rightwards double arrow space straight a space plus space straight b space equals space 84 degree
rightwards double arrow 2 straight b space plus space straight b space equals space 84 degree space space space space space space space space space space space space space space space space space space space left parenthesis Given space straight a space equals space 2 straight b right parenthesis
rightwards double arrow 3 straight b space equals space 84 degree
rightwards double arrow space straight b space equals space 28 degree end style


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