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.
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A 10 degree angle cannot be constructed using only a compass and straight edge.
With a straight edge and a protractor
by 60 degree and 90 degree
Construct a circle and divide the circumference into 36 equal arcs Each arc will represent 10 degrees and 11 of them subtended to the circle's centre will create an obtuse angle of 110 degrees
An angle of 45 degrees can be constructed by bisecting a right angle with a pair of compasses and a straight edge or merely using a protractor.