In a rhombus, all sides are the same length, and the opposite angles are equal. The diagonals also bisect each other at 90 degrees.
We know that,
A rhombus has two congruent acute and two congruent obtuse angles.
Here we use the terms x and y to represent the angles.
where x is the acute angle
The angles total 360 degrees.
So far, we have:
2(x+y) = 360
By dividing both sides by 2 , we get,
x + y = 180
We can assume y is 3 times larger than x,
That is y = 3x
As a result, the equation becomes,
x + 3y = 180
Calculate the total
4x = 180
As a result, the acute angle is 45 degrees.
Hence we proved that y is 3 times larger than x.
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