ICSE Class 10 Answered

$In space the space following space figure comma space straight O space is space the space centre space of space the space circle space and space AB space is space straight a space tangent space to space it at space point space straight B. space angle BDC equals 65 degree. space Find space angle BAO.$ Please provide solution to this question

Asked by Topperlearning User | 05 Oct, 2017, 10:56: AM

Expert Answer

$begin mathsize 12px style From space the space given space figure comma space OB space is space radius space and space therefore space in space increment space BDC comma angle space DBC space plus space angle space BDC space plus space angle space BCD space equals space 180 degree 90 degree space plus space 65 degree space plus space angle space BCD space equals space 180 degree angle space BCD space equals space 25 degree Or comma space OE space equals space OC space equals space radius angle space OEC space equals space angle space OCE space equals space 25 degree space space space left parenthesis as space angle space OCE space equals space angle space BCD right parenthesis angle space AED space equals space angle space OEC space equals space 25 degree space space space space left parenthesis vertically space opposite space angles right parenthesis Also comma space angle space ADE space equals space 180 degree space minus space 65 degree space equals space 115 degree Therefore comma space in space increment space AED comma angle space BAO space equals space 180 degree space minus space 115 degree space minus space 25 degree space equals space 40 degree end style$