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°.
Ethiopia Learning - Technical Drawing grade 11 page 73 in English
67. How construct 75 degree angle?
Construct a trapezium KITE in which \[KI\parallel ET\], \[\angle K={{75}^{\circ }}\], \[\angle T={{90}^{\circ }}\], $KI=6cm$ $KE=3.8cm$ and $ET=4.5cm$.
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