Question

one of the diagonal of a rhombus is equal to one of its side find the angle of rhombus

Answer 1

consider one angle in rhombus and let it be theta

=> sin(theta/2) = (d/2)/s

where d is length of diagonal and s is length of side

given, d=s

=> sin(theta/2) = 1/2

=> sin(theta/2) = sin 30

=> theta/2 = 30

=> theta = 60

so, the angles are 60°,120°,60°,120°