Answer:
[tex]x=5[/tex]
Step-by-step explanation:
Since it is a Rhombus.
[tex]\angle BED=\angle BCD\\\angle BED=51[/tex]
Now in [tex]\triangle BDE[/tex]
[tex]\angle BDE=55,\angle BED=51,\angle EBD=14x+4[/tex]
Sum of the three angle of triangle is [tex]180\textdegree[/tex].
[tex]\angle BDE+\angle BED+\angle EBD=180\\51+55+14x+4=180\\14x+110=180\\14x=180-110\\14x=70\\x=\frac{70}{14}\\ x=5[/tex]
