What is the only quadalateral to have a 45 degree angle?

a parallelogram.

A trapezoid, parallelogram, and rhombus.

they all have 45 degrees angles.

The only quadrilateral that has a 45-degree angle is a square. To understand why, let's go over the properties of a square.

A square is a special type of quadrilateral that has several characteristics:
1. All four sides are equal in length.
2. All four angles are right angles or 90 degrees.
3. The diagonals (lines connecting opposite vertices) are equal in length and bisect each other at a right angle.

Now, to find out if a square has a 45-degree angle, we need to examine its angles. Since all angles in a square are right angles (90 degrees), we can see that a square does not have a 45-degree angle.

Therefore, there is no quadrilateral with only a 45-degree angle.