Question

HOW TO CONTRUCT A 52.5 DEGREE ANGLE

Answer 1

Using only compass and scale  and not using protractor.


Draw AB horizontally. Then draw  CD perpendicularly. Intersection is point O.

Now draw angular bisector OE  of AOB.   so angle AOE = EOB = 45 deg.

Trisect angle  AOB.  Then angle AOF, FOG and GOB are each 30 deg.
angle BOF is  60 deg.

Now draw a perpendicular bisector OH of angle  DOF.  Then angle BOH is 52.5 deg exact.