#### Answer

When we use a protractor to measure the angle, we should measure an angle that is close to the calculated value $78.7^{\circ}$

#### Work Step by Step

We can calculate the angle $x$ as follows:
$tan~x = \frac{opp}{adj}$
$tan~x = \frac{250}{50}$
$tan~x = 5$
$x = tan^{-1}~(5)$
$x = 78.7^{\circ}$
When we use a protractor to measure the angle, we should measure an angle that is close to the calculated value $78.7^{\circ}$