How do you construct 150 degree angle using compasses? - Answers

You also need a straight edge.Because of the poor graphic facility of this browser, the description is rather longer and sounds more complicated than it is.In summary, youdraw a 60 degree angle,bisect it, and thenconsider its supplement.So here goes (it will be easier if you read and do it together).:Draw a straight line.Mark a point A on the line.With the compasses, draw a quarter circle arc that intersects the line at point B.Using the same compass setting, draw another large arc from B which intersects the first arc at point C (angle CAB will be 60 degrees).With the compass point now at C, and still using the same compass setting, draw another arc to intersect the last arc at D.Angle DAB is 30 degrees.If BA is extended (on the other side of A) to a point E, the angle DAE is 150 degrees.You also need a straight edge. Because of the poor graphic facility of this browser, the description is rather longer and sounds more complicated than it is.In summary, youdraw a 60 degree angle,bisect it, and thenconsider its supplement.So here goes (it will be easier if you read and do it together).:Draw a straight line.Mark a point A on the line.With the compasses, draw a quarter circle arc that intersects the line at point B.Using the same compass setting, draw another large arc from B which intersects the first arc at point C (angle CAB will be 60 degrees).With the compass point now at C, and still using the same compass setting, draw another arc to intersect the last arc at D.Angle DAB is 30 degrees.If BA is extended (on the other side of A) to a point E, the angle DAE is 150 degrees.You also need a straight edge. Because of the poor graphic facility of this browser, the description is rather longer and sounds more complicated than it is.In summary, youdraw a 60 degree angle,bisect it, and thenconsider its supplement.So here goes (it will be easier if you read and do it together).:Draw a straight line.Mark a point A on the line.With the compasses, draw a quarter circle arc that intersects the line at point B.Using the same compass setting, draw another large arc from B which intersects the first arc at point C (angle CAB will be 60 degrees).With the compass point now at C, and still using the same compass setting, draw another arc to intersect the last arc at D.Angle DAB is 30 degrees.If BA is extended (on the other side of A) to a point E, the angle DAE is 150 degrees.You also need a straight edge. Because of the poor graphic facility of this browser, the description is rather longer and sounds more complicated than it is.In summary, youdraw a 60 degree angle,bisect it, and thenconsider its supplement.So here goes (it will be easier if you read and do it together).:Draw a straight line.Mark a point A on the line.With the compasses, draw a quarter circle arc that intersects the line at point B.Using the same compass setting, draw another large arc from B which intersects the first arc at point C (angle CAB will be 60 degrees).With the compass point now at C, and still using the same compass setting, draw another arc to intersect the last arc at D.Angle DAB is 30 degrees.If BA is extended (on the other side of A) to a point E, the angle DAE is 150 degrees.