In each of the figures given below, ABCD is a rhombus. Find the value of x and y in each case.

Answer

(i) `x=35, y=35 " (ii) "x=50, y=50 " (iii) " x=31, y=59`

Explanation

(i) `AB=BC rArr angle BAC = angle BCA = x^(@). " And, " x+x+110 =180. `
(ii) ` angle AOB=90^(@) " (ii) " angle DCB = angle BAD = 62^(@). " So, "angle DCO=31^(@).`