find m∠w.\nwrite your answer as an integer or as a decimal rounded to the nearest tenth.\nm∠w = □°

Explanation:

Step1: Recall tangent - ratio formula

In right - triangle $VXW$, $\tan W=\frac{VX}{XW}$. Here, $VX = 4.9$ and $XW=6.7$.

Step2: Calculate the tangent of angle $W$

$\tan W=\frac{4.9}{6.7}\approx0.7313$.

Step3: Find the measure of angle $W$

$W=\arctan(0.7313)$. Using a calculator, $W\approx36.2^{\circ}$.

Answer:

$36.2$