solve for x. round to the nearest tenth of a degree, if necessary. answer attempt 1 out of 2 x =

Explanation:

Step1: Recall triangle - angle sum property

The sum of the interior angles of a triangle is 180°. In right - triangle VUW, we know that one angle is 90° (at vertex V), and the other two angles are (x) and the angle opposite the side of length 50.

Step2: Set up the equation

Let (\angle V = 90^{\circ}), (\angle W=x^{\circ}), and we can use the sine function to find the third - angle first. (\sin x=\frac{50}{84}). Then (x = \sin^{- 1}(\frac{50}{84})).

Step3: Calculate the value of (x)

(x=\sin^{-1}(\frac{50}{84})\approx36.5^{\circ})

Answer:

(36.5)