Answer:
x = 4
Step-by-step explanation:
If a quadrilateral is a rhombus, then the diagonals of it will bisect each angle of the quadrilateral.
Now, the diagonal AC bisects angle C into ∠ ACD and ∠ ACB.
Hence, ∠ ACD = ∠ ACB
⇒ 2x + 4 = 5x - 8 {Given that ∠ ACD= 2x + 4 and ∠ ACB= 5x - 8 }
⇒ 3x = 12
⇒ x = 4 (Answer)
