Answer
$x=8$
$m\angle(2)=56^{\circ}$
Work Step by Step
Since $\angle(2)$ equals $\angle(4)$, you can set up the same equation from the last exercise with the angle measurements:
$6x+8=7x$
$8=(7x-6x)=x$
Now you can plug in the value for $x$ again to find $m\angle(2)$:
$m\angle(2)=(6x+8)^{\circ}$
$m\angle(2)=(6(8)+8)^{\circ}$
$m\angle(2)=(48+8)^{\circ}$
$m\angle(2)=56^{\circ}$
