In the figure given below, LM = LN; angle PLN = 110°. Calculate :

(i) ∠LMN

(ii) ∠MLN

An isosceles triangle ABC has AC = BC. CD bisects AB at D and ∠CAB = 55°. Find :

(i) ∠DCB

(ii) ∠CBD

In the triangle ABC, BD bisects angle B and is perpendicular to AC. If the lengths of the sides of the triangle are expressed in terms of x and y as shown, find the values of x and y.

In triangle ABC; AB = AC and ∠A : ∠B = 8 : 5; find angle A.