Question

one of the diagonals of a rhombus is equal to the side of the rhombus, find the angles of the rhombus
(with explanation )​

Answer 1

Answer:

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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