SOLUTION: Given: parallelogram XYZW; angle X=80 degrees Prove: parallelogram XYZW is not a rectangle

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Question 948770: Given: parallelogram XYZW; angle X=80 degrees
Prove: parallelogram XYZW is not a rectangle
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
A rectangle has 4 angles that are each equal to 90 degrees.
For XYZW,
X%2BY%2BX%2BY=360
X%2BY=180
80%2BY=180
Y=100
Since XYZW has angles 80,100,80,100, it is not a rectangle.