Draw an angle of measure 45° and bisect it.

Question

KnowledgeBoat · Accepted Answer

Steps: 1. Draw any line l and take a point O on it. 2. With O as centre and suitable radius, draw two arcs to cut line l at points A and B. 3. With A and B as centres, draw two arcs of equal radius cutting each other at C. Join OC and produce it. Then ∠BOC = 90°. 4. Now we bisect ∠BOC by drawing two equal arc from point B and F, cutting each other at point D. Join OD and the bisector is ray OD. Then ∠BOD = 45°. 5. Now to bisect ∠BOD, with O as centre and any suitable radius, draw an arc to meet OB at P and OD at Q. 6. With P and Q as centres and equal radii , draw two arcs cutting each other at E. 7. Join OE and produce it to form a ray. Hence, ray OE is the bisector of ∠BOD = 45°, and ∠BOE = ∠EOD = 22.5°.

Mathematics

Draw an angle of measure 45° and bisect it.

Constructions

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