Given that the quadrilateral is a trapezoid, XW ≅ YZ and m∠Z = 44° , what is m∠X?
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Answer:
angle X = 136 degrees
Step-by-step explanation:
Given XYZW is a trapezoid means XY || WZ.
Given XW ≅ YZ means that base angles are equal
=>
XWZ = YZW = 44
Since interior angles between parallel lines are supplementary,
angle X = YXW = 180-XWZ = 180-YZW = 180-angle Z = 180-44 = 136 degrees