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In the diagram below of triangle TUV, W is a midpoint of TU and X is a midpointof UV. If angle XWU = 77 - 4x and angle VTW = x + 67, what is the measure of angle XWU?

 

 Feb 25, 2021
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Lines WX and TV are parallel, so

 

77 - 4x = x + 67

10 = 5x

 

x = 2  ====>  69 degrees

 Feb 25, 2021

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