Question

Dlaganols of a rhombus pqrs is equal to one of
its side Rs. Find all the
angles of the rhombus,​

Answer 1

Answer:

Step-by-step explanation:

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

We know that a rhombus has four equal sides. If one side has the same length as a diagonal, the diagonal is part of two equilateral triangles.Since a rhombus has four sides we can say  

Rhombus = ABCD where AB = diagonal of AC  

Since the triangle ABC is equilateral and so angle ABC = 60. To solve the problem we can make an equation.  

60 + x = 180  

Solve  

60 + x = 180  

180 - 60 = x  

x = 120  

Answer = 120  

Answer 2

Answer:

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

In triangle BAC

BA=BC=CA , therefore

angle BAC=angle ABC= angle ACB =60°………(1)

Similarly in triangle DAC , DA=DC=CA , therefore

Angle DAC=angle ACD=angle ADC=60°……….(2)

From eqn. (1) and (2)

Angle A=angle BAC+angle DAC=60°+60°=120°

Angle B= angle ABC = 60°.

Angle C=angle ACB+angle ACD=60°+60°=120°

Angle D =angle ADC=60°. Answer.

Step-by-step explanation:

here is ur answer.