Question

Construct the following angle using ruler and compass only

135°

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 at D.

Step 5: With C and D as centers drawn arcs of convenient (same) radius in the interior of ∠CAD.

Marked the point of intersection as E.

Step 6: Joined AE, through G. ∠BAE = 90°.

Step 7: Drawn angle bisector to ∠GAH through F.

Now ∠BAF = 135°.