solve for x. round to the nearest tenth of a degree, if necessary.

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°. In right - triangle UVW with right - angle at V (∠V = 90°), we have the equation ∠U+∠V+∠W = 180°.

Step2: Substitute the known values

We know that ∠V = 90° and ∠W=x and we are given no information about ∠U, but we can also use the fact that in a right - triangle, if we consider the non - right angles, they are complementary (their sum is 90°). So, x + 50=90.

Step3: Solve for x

Subtract 50 from both sides of the equation x + 50=90. We get x=90 - 50. x = 40

Answer:

40