Question

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

Answer 1

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

`W+X+Y+Z=360`

`2Y+2Z=360`

`Y+Z=180`

and we will also get

`2W+2X=360`

`W+X=180`

so,

option-A , C , E.......Answer