Question

Construct the following angle using ruler and compass only

150°

Answer 1

Construction :

Since 150° = 60° + 60° + 30°, we construct as follows

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

Step 2: With ‘A’ as center, drawn a full arc of convenient radius to the line at a point B and at E the other end.

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 already drawn arc at D.

Step 5: With D as center, drawn an arc of convenient radius in the interior of ∠DAE

Step 6: With E as center and with the same radius drawn an arc to cut the previous arc at F.

Step 7: Joined AF, ∠FAB = 150°.