Question

In the given figure CE is a tangent to the circle at point C. ABCD is a cyclic quadrilateral. If ∠ABC = 93o and ∠DCE = 35o. Find: (i) ∠ADC (ii) ∠CAD (ii) ∠ACD

Answer 1

opp angles of a cyclic quad. sum upto 180 so,
angleA + angleC= 180
angleA +35=180
angleA=180-35=145

similarly
angleB+angleD=180
93+angleD=180
angleD=180-93=87

so, angleA=145 and angleD=87
I hope my answer helps you