Question

One of the diagonal of a rhombus is equal to one of its side. Find the angles of the rhombus

Answer 1

Let ABCD is a rhombus in which AB=BC=CD=DA=diagonal CA.

In triangle ABC

AB=BC=CA ,

The triangle is equilateral

therefore angle B=60°

Angle D=angle B=60°

Angle A=180°- angle B=180°-60°=120°

Angle C=angle A=120° ,