ICSE Class 10 Answered

IN THE ADJOINING DIAGRAM AB IS A DIAMETER OF A CIRCLE. IF THE CHORDS AD AND DC ARE EQUAL AND ANGLE BCD=118 DEGREE, FIND ANGLE ADC AND CAB

Asked by Raji | 20 Feb, 2016, 11:03: AM

Expert Answer

AB space is space diametre space of space the space circle rightwards double arrow angle ACB space equals space 90 degree space space space left parenthesis Angle space in space straight a space semicircle space made space by space diametre right parenthesis angle BCD space equals angle BCA space plus angle ACD space angle ACD space space equals space angle BCD space space minus space angle BCA angle ACD space space equals space 118 degree space minus space 90 degree space equals space 28 degree In space increment ACD comma AD space space equals space space DC space space space space left parenthesis Given right parenthesis rightwards double arrow angle DAC space equals space angle ACD rightwards double arrow angle DAC space equals space 28 degree angle DAC space plus space angle ACD space plus space angle ADC space equals space 180 degree angle ADC space equals space 180 degree space minus space 56 degree space equals space 124 degree square ABCD space is space cyclic space quadrilateral. rightwards double arrow angle straight A space plus angle straight C space equals space 180 degree rightwards double arrow angle DAC space plus space angle CAB plus angle straight C space equals space 180 degree rightwards double arrow 28 degree space plus space angle CAB plus 118 degree space equals space 180 degree rightwards double arrow angle CAB space equals space 34 degree

Answered by Vijaykumar Wani | 22 Feb, 2016, 11:27: AM

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