Question

ABCD is a cyclic quadrilateral angle ABC = 70 degree angle ACB = 50 degree and angle CAD = 30 degree
(1) Find angle ADC and angle BAC
(2) Prove that BD is a diameter ​

Answer 1

ABCD is a cyclic quadrilateral angle ABC = 70 degree angle ACB = 50 degree and angle CAD = 30 degree

(1) Find angle ADC and angle BAC

(2) Prove that BD is a diameter