Is the quadrilateral DEFG a parallelogram? Demonstrate all your work to justify your answer.
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In order for the quadrilateral DEFG to be a parallelogram, we will use the properties of a parallelogram.
The opposite angles of a parallelogram are equal to each other so to prove - or disprove:
`/_D_(1) = 110` degrees - given
`therefore /_D_(2) = 70` degrees -angles on a straight line=180 degrees
`/_F=65` degrees - given
and angle F is opposite angle `D_(2)`
Therefore DEFG is NOT a parallelogram
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