# Is the quadrilateral DEFG a parallelogram? Demonstrate all your work to justify your answer.

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### 1 Answer

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)`

but `/_F!=/_D_(2)`

**Ans:**

**Therefore DEFG is NOT a parallelogram**

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