Question

Construct the following angle using ruler and compass only

45°

Answer 1

Construction :

Step 1: Drawn a line and marked a point A on it

Step 2: With A as center, drawn an arc of convenient radius to the line at a point B.

Step 3: With the same radius and B as center drawn an arc to cut the previous arc at C.

Step 4: With the same radius and C as center, drawn an arc to cut the arc drawn in step 2 at D.

Step 5: Joined AD. ∠BAD = 120°.

Step 6: With G as center and any convenient radius drawn an arc in the interior of ∠GAB

Step 7: With the same radius and B as center drawn an arc to cut the arc at F.

Step 8: Joined AF. ∠BAF = 45°