Construct an angle of 67.5° by using the ruler and compasses.
Question:

Construct an angle of 67.5° by using the ruler and compasses.

 

Solution:

Steps of Construction:
1. Draw a line TS. 
2. Construct POS = 90°. 
3. Draw OQ, bisector of POT. Thus, QOS = 135°° is obtained.
4. Draw the bisector of QOS. 
5. ROS thus obtained is equal to 67.5°. 

 

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