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Question

How to construct 22.5 degree ?

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Solution

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If you dont know i am giving steps for the above figure go through it and draw picture as above(previous answer)

CONSTRUCTING ANGLES OF 90°, 45° and 22.5°

To construct or build an angle of 90°, we construct a perpendicular from a point which is located on a line segment.


CONSTRUCTION 90°
First draw a line segment EF of line L. Release your compasses to an appropriate separation. Using E as centre, construct an arc to intersect the line L at M and N.
Then release your compasses to more than half the distance of MN. Using M and N as centres, construct two arcs to intersect above the line L at O. Now draw a straight line passing through the point E and O. We have finally constructed angle FEO of size 90°.


CONSTRUCTION 45°
To construct an angle of 45°, we now bisect the angle of size 90°.
Using T and N as centres, bisect angle FEO=90°. Then angle FEG is our angle of size 45°.


CONSTRUCTION 22.5°
To construct an angle of 22.5°, we now bisect the angle of size 45°.
Using S and N as centres, bisect angle FEG=45°. Then angle FEU is our angle of size 22.5°
Look at construction above figure (above answer)

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