How to construct 150 degrees by ruler and compass?

The steps for constructing 150 degree angle are as follows :

1.Draw a ray OA.

2.With O as centre and any suitable radius, draw an arc, cutting OA at B.

3.With B as centre and the same radius, cut the previously drawn arc at C, then with C as centre and the same radius, cut the arc at D,and then with D as centre and the same radius, draw another arc to cut the previous arc at E.

4.With D as centre and more than half DE, draw an arc.

5.With E as centre and the same radius, draw another arc to cut the previous arc at F.

6.Join OF.

The angle of 150 degrees is made.

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compass

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We can draw  105 degree angle by using a compass by the following way:1. Draw a line AB2. Placing the compass in A, take some randon length in the compass and draw an arc cutting AB at the point C.3. Now without changing the length in the compass draw another arc cutting the previous arc at the point D by placing the compass in C.4. Join AD.5. Set half the length of AD as the compass length.6. Keeping the compass at A and D draw arcs on both sides of the line AD.7. The arcs of both sides of AD form two points, join those points which cuts the line AD at E. This line is the perpendicular bisector of line AD.8. Take the length on the compass as AE and keeping the compass at E draw an arc cutting the perpendicular bisector at F.9. Join AF. < BAF = 105 o . 

 
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