Question

One of the diagonals of a rhombus is equal to one of its sides. Find the
angles of rhombus.
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Answer 1

Answer:

120

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

60+ x = 180

180 - 60 = X

x = 120

Answer = 120

Answer 2

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