Constructing a copy of a given angle

Suppose we are given angle A

We need to draw its copy

Let’s follow these steps

1.Draw a ray OP

2. From point A, draw an arc of any radius
   intersecting the sides at B & C
   
   
   
   
3. Using compass opened the same length,

   draw an arc with point O as the center,

   cutting OP at Q

   
   
   
   
   
4. Now, back to our angle A.
   Open compass to length BC
   
   
   
5. Keeping the same radius,
   Put pointed end of compass on point Q, and draw an arc.
   The point where it cuts previous arc is point R.
   
   
   
6. Join OR
   
   

   
   Thus, ∠ ROQ is the copy of ∠ A