A
Step-by-step explanation:
First, we are already given the sides adjacent and opposite to ∠x. Therefore, we can use the tangent function. Recall that:
![\tan(x)=opp/adj](/tpl/images/0720/1564/2c975.png)
The opposite side is 20 while the adjacent side is 14.
Plug in the numbers. Use a calculator:
![\tan(x)=20/14=10/7\\x=\tan^{-1}(10/7)\\x\approx55.0080\textdegree\approx55\textdegree](/tpl/images/0720/1564/388bb.png)
Edits: Improved Answer. Removed Wrong Answer.