I need help with geometry! 15 points

w = 10.74

X = 13 degrees

V = 144 degrees

Step-by-step explanation:

If you draw a line from V which is perpendicular to XW, this line is VY (see attachment

then sin(W) = VY/VW

=> VY = VWsin(W) = 6 x sin23 = 6 x 0.39 = 2.34

since VYW is a right triangle with VW is hypotenuse

VW^2 = VY^2 + YW^2

YW^2 = VW^2 - VY^2 = 6^2 - 2.34^2 = 36 - 5.48 = 30.52

YW = 5.52

XY = XW - YW = 16 - 5.52 = 10.48

since triangle XYV is a right triangle with XV or w is hypotenuse

w^2 = VY^2 + XY^2 = 2.34^2 + 10.48^2 = 5.48 + 109.83 = 115.31

w = 10.74

sin(X) = VY/VX = 2.34/10.74 = 0.22

X = 13 degrees

V = 180 - (X + W) = 180 - (13 + 23) = 144 degrees

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step-by-step explanation:

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