Answer: x = 27
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Work Shown:
Angle XWY = 180 - 6x
Angle XYW = 180 - 4x
The two angles are complementary (since they are the acute angles in a right triangle), meaning they add to 90 degrees
(180 - 6x) + (180 - 4x) = 90
(180 + 180) + (-6x - 4x) = 90
360 - 10x = 90
-10x =90 - 360 ... subtract 360 from both sides
-10x = -270
x = -270/(-10) .... divide both sides by -10
x = 27
