Constructing the angle 75°?
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Bisecting angles twice will give an angle of 75°. Note that 150° div 2 = 75° Construct an equilateral triangle using a compass. Each of the angles is 60°. Extend the base. Now bisect the angle of 60° to create an angle of 30° inside the triangle. THe adjacent supplementary angle will be 150°, Bisecting the angle of 150° will give the required angle of 75°.
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