Respuesta :

opposite angles of a parallelogram are congruent, and all of its angles add to 360°. so subtract 66 twice from 360 to get 228° remaining for the two last angles. since they have to be congruent, they are equal to 228/2, which is 114. they must both equal 114°

Answer:

y = 114

Step-by-step explanation:

A square always adds up to 360 degrees.  Keeping this in mind, we have to create an equation to get the answer.

66 + 66 + y + y = 360

Add.

[tex]132+y^{2} =360[/tex]

Get the variable to one side.

[tex]y^{2} =228[/tex]

Now divide by 2 so you can have it for both missing angles.

y = 114

The reason for two y's in the equation we created is because there are two missing angles.  To prove it is a parallelogram you need to find both angles.  To prove the equation you can add up all of the angles.

Hope this helped you out.

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