Question

can anyone here construct and justify the construction of 20 degree angle......
an open challenge to all of u u have time till 10:PM
thank u

Answer 1

CONSTRUCTING A 20 DEGREE ANGLE USING COMPASS AND STRAIGHTEDGE (RULER) ONLY
1. Step 1:
- Draw a line segment PQ. With centre O, Draw an arc of any length using your compass and label it as AB.

2. Step 2:
- Keeping your compass wide open with the same length, draw an arc S on AB. This will be your normal 60 Degree angle arc. (If you join S to O, you will get an angle measuring 60 degrees i.e. Angle SOB).

3. Step 3:
- Bisect the 60 degree angle and name the point of intersection as J. J will be your normal 30 degree arc. (After bisecting the 60 degree angle, if you join J to O you will get an angle measuring 30 degrees i.e. Angle JOB).
Till Step 3, it was a normal construction. Step 4 is where the 'Twist' occurs!!!

4. Step 4:
- Join the arc J to A, and there you have it! Angle JAB is your 20 degree angle! Now you can easily construct angles measuring 10,40,50,70,80,100,110,130,140,160,170 degrees!