Solve for the right triangle
angle v 51

Step-by-step explanation:

Triangle VWX is a right angle triangle.

From the given right angle triangle

VX represents the hypotenuse of the right angle triangle.

With 39 degrees as the reference angle,

WX represents the adjacent side of the right angle triangle.

VW represents the opposite side of the right angle triangle.

1) To determine VX, we would apply trigonometric ratio

Sin θ = opposite side/hypotenuse Therefore,

Sin 39 = 4/VX

VX Sin39 = 4

VX = 4/Sin39 = 4/0.6293

VX = 6.4

2) To determine WX, we would apply trigonometric ratio

Tan θ = opposite side/adjacent side. Therefore,

Tan 39 = 4/WX

WX Tan39 = 4

WX = 4/Tan 39 = 4/0.8089

WX = 4.9

3) the sum of the angles in a triangle is 180 degrees. Therefore

∠V + 90 + 39 = 180

∠V = 180 - (90 + 39)

∠V = 51 °