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CBSE Class 9 Answered

abcd is a cyclic quad. in which AE is drawn parallel to CD and BA is produced to F . if<abc=70degree  and <fae=30 degree, find <bcd.
Asked by krishan_5 | 03 Mar, 2016, 07:47: AM
answered-by-expert Expert Answer
ABCD space is space cyclic space quadrilateral. angle ABC space plus space angle ADC space equals space 180 degree angle ADC space equals space 180 degree space minus space 70 degree space equals space 110 degree  Given space that space AE space parallel to CD space and space AD space is space transversal. So space angle EAD space equals space angle ADC space space space left parenthesis Corresponding space angles right parenthesis angle EAD space equals space 110 degree  Also space using space linear space pair space angle space property space we space can space write angle FAE space plus space angle EAD space plus space angle DAB equals 180 degree angle DAB equals 180 degree space minus space 30 degree space minus 110 degree space equals space 40 degree  Using space cyclic space quadrilateral space property space we space can space write comma angle BAD space plus space angle BCD space equals space 180 degree angle BCD space equals space 180 degree space minus space 40 degree space equals space 140 degree
 
Answered by Vijaykumar Wani | 03 Mar, 2016, 12:14: PM
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