Question

Construct the following angle using ruler and compass only

30°

Answer 1

Constructions:

Since 30° is half of 60°, we can construct 30° by bisecting the angle 60°.

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 to meet 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: Joined AC to get ∠BAC = 60°

Step 5: With B as center drawn an arc of convenient radius in the interior of ∠BAC

Step 6: With the same radius and C as center drawn an arc to cut the previous arc at D.

Step 7: Joined AD.

∴ ∠BAD is the required angle of measure 30°.