.Draw a line
On one end, draw an angle of 90 degrees
Divide it into two angles, each of 45
Divide the upper angle in to
The line you get will be angle of 105 deg

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To construct an angle of 105°. The steps are:
i) First draw an 90° angle.

ii) Then draw a 75° angle on right side of the perpendicular bisector.
[The point at L & M draw two arc meeting at the point P]

iii) Then on the left hand side of the perpendicular bisector draw a 60° angle.

iv) Bisect the 60° so that the values sum upto 105°.

Join the final point.
Here you get your 105° angle.