Question

In figure given below, ABCD is a rhombus. Find the value of x.

Answer 1

ABCD is a rhombus

So, ∠A + ∠B = 180^o (Sum of adjacent angles of a rhombus is 180^o) (0.5 marks)

72^o + ∠B = 180^o (Given, ∠A = 72^o)

∠B = 180^o – 72^o = 108^o (0.5 marks)

Hence,

x = ½ B = ½ x 108^o = 54^o (1 mark)