Question

Draw an angle of measure 45˚ and bisect it.

Answer 1

• Draw a line PQ.
• Take a point O on it.
• Taking O as centre and a convenient radius, draw an arc which intersects PQ at you points A and B.
• Taking A and B as centres and radius more than half of AB, draw two arcs which intersect each other at C.
• Join O and C.
• Then ∠COQ is an angle of 90˚.
• Take a convenient radius and draw the arcs from point D and A which intersect at E.
• Draw OE as bisector of ∠COQ.
• Thus ∠EOQ = 45˚
• Now we have obtained ∠EOQ = 45˚.
• Take a convenient radius and draw the arcs from point F and A which intersect at G..
• Draw OG as bisector of ∠EOQ.
• Thus ∠GOQ = 22.5˚