Maya S.

asked • 08/28/19

Geometry finding each measure

If wxz =5x+3 zxy =8x-4 and wxy is a right angle, find each measure... X, WXZ, ZXY

Mark H.

I'm having trouble visualizing this.....What are W, X, Y, and Z? Angles? Lengths of sides?
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08/28/19

Philip P.

WXYZ appears to be a quadrilateral
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08/28/19

1 Expert Answer

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Philip P. answered • 08/28/19

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Assuming WXYZ is a quadrilateral, then by the Angle Addition Postulate we have:


WXZ + ZXY = WXY

  1. WXZ = 5x + 3
  2. ZXY = 8x -4
  3. WXY = right angle = 90o


Substituting:


5x+3 + 8x-4 = 90


Solve for x then solve for WXZ and ZXY. Check your answer by making sure WXZ and ZXY add up to 90o.

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