Answer:
E. x = 18.6.
Explanation:
As it is a rhombus the diagonals bisect to 4 angles in the rhombus (which add up to 360).Therefore:
4(4x - 3) + 4x = 360
16x - 12 + 4x = 360
20x = 372
x = 372/20
= 18.6.
Diagonals of rhombus are perpendicular to each other
4x - 3 + x + 90 = 180 { angle sum property}
5x = 180 - 90 + 3
5x = 93
x = 93 / 5
x = 18.6
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