Question

O is the centre of circle passing through the points a,b,c,d and DC is produced to point e angle bce=35 find angle bad and bod

Answer 1

angle bce+ angle bcd=180
35+angle bcd =180
angle bcd = 180-35
= 145

angle bcd +angle bad=180 (sum of opp. angles of a cyclic quad. is 180)
145 + angle bad =180
angle bad= 35

angle bod = 2× angle bad. (the angle subtended by an arc on centre is double the angle subtended by it at any point on the remaining circle)
angle bod= 2×35
= 70