Question

Construct the following angle using ruler and compass only

90°

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 C as center, drawn an arc of convenient radius in the interior of ∠CAD.

Step 7: With the same radius and D as center, drawn an arc to cut the arc at E.

Step 8: Joined AF ∠BAE = 90°.