Question

4) One of diagonals of rhombus is equal to one of its sides Find the angles of the rhombus.

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Answer 1

Answer:

120

Step-by-step explanation:

Solutions  

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