Question

Given that ABCD is a rhombus, what is the value of x?

Answer 1

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.

Answer 2

Explanation:

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