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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