WXYZ is a kite. Use the figure below to fill in the blanks below.

Question

asked Jul 27, 2023 233k views

1 Answer

WritingForAnroid · Answer 1 · 2023-07-31T06:03:53+0000

We can assume the kite is simetrycal along line WY, as such

$m\angle\text{XSW}=90$

because the diagonals of a kite are perpendicular.

Since m∠XSW is 90°, triangle WSX is a right triangle. Thus

$m\angle WXZ=m\angle WXS=180-90-46=44$

By the symmetry we discussed earlier,

$m\angle WYZ=m\angle WYX=18$

And finally

$m\angle XYZ=m\angle WYZ+m\angle WYX=18+18=36$