Question

If one of the diagonals of a rhombus is equal to one of its sides, the greater angle of the rhombus is

• A. ${60}^{}$
• B. ${120}^{}$
• C. ${90}^{}$
• D. ${150}^{}$

Answer 1

Answer: (B)

${120}^{}$

If one of the diagonals is equal in measure to one of the sides, the rhombus must be formed from two equilateral triangles.

Since, In equilateral triangle each angle is of 60 degree.

therefore, the smaller angles are 60 degrees, and the larger angles must be two times 60 or 120 degrees.
Option B is correct.