Question

Construct angle 45° with pencil and a pair of compases only

Answer 1

The given attachment shows you the angle of 45° with a pencil and compass.

Step-by-step explanation:

Step 1 - Draw a line segment OA of any length. By using a compass draw a half-circle as shown in the figure.

Step 2 - Draw two arcs on the semicircle and point them as 'C' and 'D' respectively.

Step 3 - From point 'C' and from point 'D' draw two arcs that cut each other at point 'P' as shown in the figure.  

Step 4 - Draw a line segment from point 'P' to 'O' and mark it as a 90° angle as shown in the figure.  Here, you will get point 'Q' where the line meets at the arc.

Step 5 - From point 'Q' and from point 'B' draw two arcs which cut each other at point 'R'.

Step 6 - Draw a line segment from 'R' to 'O'. Angle AOR is 45°