Question

1) One of the diagonals of a rhombus is equal to its side. Find the angles of the rhombus.

Answer 1

solution.

Here one Digonal is equal to another side than.

there is a equilateral trangle formed.

so, then angle BAD = 60°

And, 1/2 angle 2= 60°

and, 1/2 angle 3= 60°

Now, Angle D= 180° - 60°= 120°

so, angle BDC= 30° & Angle CBD= 30°

SO, all angles of rhombus

Ange A= 60°

Angle B= 60°+30°= 90°

Angle C= 60°+ 30°= 90°

& Angle D= 120°

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