Question

in a figure angle BAD =70 and angle ADC =80 . calculate angle BDC,Angle BCD And angle BCA​

Answer 1

Answer⬇️

ABCD is a cyclic quadrilateral.We know, that

of opposite angles of a cyclic quadrilateral is 180.

Therefore,

∠BAD+∠BCD=180

=>∠BCD=180−70

=110 (ii)

∠ADC+∠ABC=180

=>72+∠ABD+∠DBC=180

=>72+56+∠CBD=180

=>∠CBD=180−128

=52

In △BCD,

∠BCD+∠DBC+∠BDC=180

=>110+52+∠BDC=180

=>∠BDC=18 (i)

hop this will help you...

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