In the given figure, CA = CD = BD; ∠DBC = 35° and ∠DCA = x°. Find the value of x.

In the given figure, △ABC is an equilateral triangle whose base BC is produced to D such that BC = CD. Calculate :

(i) ∠ACD

(ii) ∠ADC

In the given figure, side BA of △ABC has been produced to D such that CD = CA and side CB has been produced to E. If ∠BAC = 106° and ∠ABE = 128°, find ∠BCD.

In the given figure, AB = BC and AC = CD. Show that: ∠BAD : ∠ADB = 3 : 1