Line BE bisects angle DBC this means that line BE divides Angle DBC into two equal halves.
This means that angle DBE = angle EBC.
This means that angle EBC is also x°
<ABD+<DBE+<EBC=180°(sum of angles on a straight line is 180°)
Plug in the variables and solve for x
![64 + x + x = 180 \\ 64 + 2x = 180 \\ 2x = 180 - 64 \\ 2x = 116 \\ (2x)/(2) = (116)/(2) \\ x = 58](https://img.qammunity.org/2023/formulas/mathematics/college/jnv6ojs4anr0zqo1yr0n4nepxukimmluje.png)
the value of x is 58°