bigboy9955
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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=

Respuesta :

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