Question

One of the diagonals of a rhombus and its sides are equal.​

Answer 1

Answer:

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.

Step-by-step explanation:

One of the diagonals of a rhombus and its sides are equal.​Find the angles of the rhombus

diagonal of rhombus is equal to side of rhombus (given)

diagonal divide the Rhombus into two equal parts so it form equilateral triangle

all the angle be 60 °

angle BAC = Angle ABC = angle BCA = 60°

Angle B = Angle B = 60°

angle Dequal to 60°

Angle B equal to 60°

let angle A and angle C be x

Angle B + angle D + angle A + angle C = 360°

60 ° + 60°+ x + x = 360°

2 x = 360 - 120

2x = 240

x = 120

angleA = 120°

Angle B= 60°

anglesC= 120°

angle D= 60°

I hope it helps

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