Answer:
x = 3
Step-by-step explanation:
The diagonals of a rhombus bisect each other at right angles, thus
BE = ED, that is
4x + 2 = 3x + 5 ( subtract 3x from both sides )
x + 2 = 5 ( subtract 2 from both sides )
Since diagonals of rhombus bisect each other,
AC bisects BD into two equal parts
ie,
⇒BE=ED
⇒4x+2=3x+5
⇒4x-3x=5-2
⇒x=3
