Two circles intersect at two points B and C. Through B, two line segments ABD and PBQ are drawn to intersect the circles at A, D and P, Q respectively (see Fig. 10.40). Prove that `/_A C P\ =/_Q C D`.

Explanation

angles substended by arc AD on same side are equal.

`/_ACP=/_ABP` are QD angles subtended by arc QD on same side`/_QCD=/_QBP`.