Question

One of the diagonals of a rhombus is equal to one of its sides . find the angle of rhombus

Answer 1

angle of rhombus be 60'
as diagonal is equal to the sides of rhombus and sides of rhombus are always equal, so if will make an equilateral triangle whose angles are each60'.

Answer 2

in the rhombus ABCD the sides AB=BC= CD=DA. THE DIAGONALS BD is equal to side AB. THEREFORE
IN triangle ABD ,AB=BD=DA .i.e, it is a equilateral triangle . therefore all angles measure 60 degree.as
opposite angles of a rhombus are equal morning
A=C=60°
D=B=120°(as diagonal of a rhombus bisects the corresponding angles