Many different quadrilaterals can have those angles. Depending upon the lengths of the sides, where the angles are and how many pairs of parallel sides it has, it could be:
A cyclic quadrilateral, a trapezium, a parallelogram or a rhombus.
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It takes four times because 45+45=90+45=135+45=180. So all of those angles can make a straight line.
A square has diagonals that split the angles into two 45-degree parts, thus bisecting them.
A general quadrilateral. No special name.
Opposite angle is 45 degrees and the other 2 angles are both 135 degrees the perimeter has nothing to do with the angles.
There are 4 interior angles in a quadrilateral