given the figure below is a special type of trapezoid and WX II YZ, which angle pairs can be proven supplementary by the given information? select all that apply
![given the figure below is a special type of trapezoid and WX II YZ which angle pairs can be proven supplementary by the given information select all that apply class=](https://us-static.z-dn.net/files/d6d/1a365789d0c3cd3f8ad01f4125e6ac3b.jpg)
we know that
supplementary angle are those angles whose sum is 180
we are given that
WX is parallel to ZY
and
WZ is parallel to XY
so, WXYZ is a parallelogram
and we know that
opposite angles are always equal
W=Y
Z=X
and sum of all angle in any quadrilateral is 360
so, we get
[tex] W+X+Y+Z=360 [/tex]
[tex] 2Y+2Z=360 [/tex]
[tex] Y+Z=180 [/tex]
and we will also get
[tex] 2W+2X=360 [/tex]
[tex] W+X=180 [/tex]
so,
option-A , C , E.......Answer