Math  /  Geometry

QuestionGiven WXZYZX\triangle W X Z \cong \triangle Y Z X, with WZ=2mWZ = 2m, XY=12XY = 12, and angles ZXY=25\angle ZXY = 25^\circ, XYZ=110\angle XYZ = 110^\circ:
(a) Find mm and WXZ=n\angle WXZ = n.
(b) Is WXYZW X Y Z a parallelogram? Explain.

Studdy Solution
Since both pairs of opposite sides are equal (WX=XYWX = XY and WZ=ZYWZ = ZY), WXYZW X Y Z is a parallelogram.
So, the answers are(a) m=mm = m, n=25n =25 (b) WXYZW X Y Z is a parallelogram because both pairs of opposite sides are equal.

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