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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.

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 class=

Sagot :

Consider the triangle WZY and WXY,

[tex]\begin{gathered} WZ=WX\text{ (given)} \\ ZY=XY\text{ (given)} \\ WY=WY\text{ (common)} \end{gathered}[/tex]

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

Then the corresponding parts must be equal,

[tex]\angle ZWY=\angle XWY[/tex]

Given that the angle ZWX measures 60 degrees,

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