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A geometrical construction can be made with with a straight edge and a compass.
In addition to a compass, you WILL need a straight edge.Draw a long straight line.Using the compass and straight edge, and standard procedures, draw a perpendicular bisector of the line.Then, using other standard geometrical construction procedures, bisect one of the right angles to produce a 45 degree angle.The remaining right angle and the 45 degree angle next to it will be 135 degrees - as required.
If the compass angle is changed, the entire geometric shape being drawn is different. For example, if a triangle is being drawn, it could change from an obtuse triangle from a ninety degree triangle.
A polygon
A geometrical curve is defined as any set of points. Therefore, counter-intuitively, a straight line is also a geometrical curve.