Answer:
10
Step-by-step explanation:
We have to find the measure of angle C. We are given lengths of side AB and side AC.
From the figure we can see that side AB is opposite to angle C and side AC is adjacent to angle C. Tangent ratio uses the opposite and adjacent side, so using tangent ratio we can find the missing angle.
[tex]\textrm{Tanget of angle}=\frac{Opposite}{Adjacent} \\\\ \textrm{Tangent of C}=\frac{AB}{AC}\\\\ tan(C) = \frac{2}{11}\\\\ C=tan^{-1}(\frac{2}{11} )\\\\ C=10[/tex]
Thus, the measure of angle C, rounded to nearest degree is 10
