Question

abcd is a cyclic quadrilateral whose diagonals intersect at at a point e. 9f dbc =70 bac is 30 find bcd ​

Answer 1

Answer:

HERE YOU GO~

(i) GIVEN = ABCD is a cyclic quadrilateral where

/_DBC = 70°

/_BAC = 30°

(ii) TO FIND - /_BCD = ?

(iii) PROOF ->

Firstly,

/_BAC = /_BDC. [Angles in same segment]

In triangle DBC,

/_BDC + /_DBC + /_BCD = 180°

=> 30° + 70° + /_BCD = 180°

=> /_BCD = 180° - ( 70 + 30 )°

=> /_BCD = 180° - 100°

=> /_BCD = 80°.

HENCE PROVED.....

THANKS.....

@anmol