A construction. A construction is a geometric drawing of a figure usually made by a compass and/or a straightedge
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An angle of 65° can not be trisected using a compass and straight edge.
No, they are not the only geometric objects.
With a straight edge and a protractor
A 10 degree angle cannot be constructed using only a compass and straight edge.
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.