Question

Is quadrilateral ABCD, seg AB= seg AD, seg BC = seg BD

/_ BAD = 70° /_ BCD = BCD = 65° find m/_ADC​

Answer 1

Step-by-step explanation:

What would you like to ask?

MATHS

In the figure, ∠BAD = 70

o

, ∠ABD = 56

o

and ∠ADC = 72

o

. Calculate (i) ∠BDC (ii) ∠BCD (iii) ∠CBD

243373

Share

Study later

ANSWER

Given,

∠BAD=70

∠ABD=56

∠ADC=72

ABCD is a cyclic quadrilateral.We know, that sum 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)