105° use a pair of compass and construct the following angle
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I can't show you how to construct because it's not practically possible. If I post the pic you will get confused. So just follow these steps and you will be able to construct the angle.
First construct a 60 degree angles and then bisect it further with the same radius to make the 120 degree angle.
Bisect the 60 and 120 degree angle to get the 90 degree angle.
Then bisect the 90 and 120 degree angle and you will get the 105 degree angle.
Hope it helps
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