Based on the calculations, the value of x in this rhombus is equal to: B. 55.
Since the opposite angles in a rhombus are always congruent, the sum of each angle in any rhombus must be equal to 360 degrees.
From the image of the rhombus, we can deduce the following parameters:
Adjacent angles = 2x + 20 and 50 degrees.
Opposite angles = 2x + 20 and 50 degrees.
Adding the angles, we have:
2x + 20 + 2x + 20 + 50 + 50 = 360
4x + 140 = 360
4x = 360 - 140
4x = 220
x = 220/4
x = 55°
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