Question

W XYZ is a kite. Angle W XY has a measure of 133 degreesand angle ZW X has a measure of 60 degrees. Find themeasure of angle ZYW.

Answer 1

Consider the triangle WZY and WXY,

`\begin{gathered} WZ=WX\text{ (given)} \\ ZY=XY\text{ (given)} \\ WY=WY\text{ (common)} \end{gathered}`

So the triangles WZY and WXY will be condruent by the SSS criteria.

Then the corresponding parts must be equal,

`\angle ZWY=\angle XWY`

Given that the angle ZWX measures 60 degrees,