Construction of angle of 45°
Steps of construction:
Step 1: Draw a ray OA.
Step 2: With its initial point O as center and any radius, draw an arc, cutting OA at B.
Step 3: With center B and same radius (as in step 2), cut the previous drawn arc at C.
Step 4: With C as center and the same radius, draw an arc cutting the arc drawn in step 2 cutting at D.
Step 5: With D and E as centers and any convenient radius (more than DE). Draw to two arcs intersecting at E.
Step 6: Join OE. Then ∠AOE = 90°
Step 7: Draw the bisector ‘OF’ of ∠AOE. Then, ∠AOF = 45°
By construction, ∠AOE = 90° and OF is the bisector of ∠AOE.
∠AOF = ∠AOE
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