Below figure represent construction of Angle measuring 60 Degree with the help of Compass.
1) Use Ruler - Draw a Line segment QR of any convenient length. (as shown below)
2). Now use compass and open it to any convenient radius. And with Q as center draw an arc which cuts line segment QR at y . (as shown below)
3). Again use compass and opened to the same radius (as of step 2). And With y as center , draw an arc which cuts previous arc at X . (as shown below)
4). Join QX and extent it to P . (as shown below)
5). Above formed angle PQR = 60 Degree
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