How to build an angle of 67 ° 30 ‘using a compass and a ruler?
| February 3, 2021 | education
An angle of 67 ° 30 ‘can be constructed by plotting a bisector for an angle of ECL = 135 °.
An angle of 135 ° can be obtained by plotting the bisector for ACD = 90 °.
Construction steps.
Using a ruler – segment FG.
Using a compass, a circle centered at point C.
Using a compass and a ruler, build:
– perpendicular AB to FG.
– bisector <ACD (<LCE = 90 ° + 45 ° = 135 °).
– bisector <LCE.
<MCE = 135 ° / 2 = 67 ° 30 ‘.
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