Question

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

Answer 1

Since ABCD is a rhombus ,

angle ODC,Angle AOD ,Angle AOB,Angle BOC are equal and also 90°

In triangle DOC,

90°+x+2x=180°(angle sum )

90°+3x=180°

3x=90

thus,x=30°