In the figure (ii) given below, AB = AC = CD, ∠ADC = 38°. Calculate

(i) ∠ABC

(ii) ∠BEC.

In the figure (i) given below, CP bisects ∠ACB. Prove that DP bisects ∠ADB.

In the figure (i) given below, chords AB and CD of a circle intersect at E.

(i) Prove that triangles ADE and CBE are similar.

(ii) Given DC = 12 cm, DE = 4 cm and AE = 16 cm, calculate the length of BE.

In the figure (ii) given below, AB and CD are two intersecting chords of a circle. Name two triangles which are similar. Hence, calculate CP given that AP = 6 cm, PB = 4 cm, and CD = 14 cm (PC > PD).