How to construct an angle of 105 degrees?
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steps to construct an angle of 105° are as follows-
Steps:
Draw a line AB and mark point O on it where angle is to be drawn. With O as center draw an arc (semicircle) which intersects the line AB at points H and I. Keeping the same radius as above and H as center, draw an arc which intersects the semicircle at point C. Without changing the radius as above and C as center, draw an arc which intersects the semicircle at point D. (The points C and D correspond to 60 and 120 degrees angle respectively).Now draw two arcs of same radius keeping the centers as C and D respectively which intersect at point E. Join points E and O and extend it to point X. We get the angle XOB=90 degree. Join the points O and D and extend it to point Y, so we get angle YOB=120 degree.Angle YOX=Angle YOB-Angle XOB=120-90=30 degreeNow let’s bisect the angle YOX.Draw two arcs of same radius keeping the centers D and F (point of intersection of EO and semicircle) which intersect at point G. Join GO.We get the angle GOB=105 degree
Steps:
Draw a line AB and mark point O on it where angle is to be drawn. With O as center draw an arc (semicircle) which intersects the line AB at points H and I. Keeping the same radius as above and H as center, draw an arc which intersects the semicircle at point C. Without changing the radius as above and C as center, draw an arc which intersects the semicircle at point D. (The points C and D correspond to 60 and 120 degrees angle respectively).Now draw two arcs of same radius keeping the centers as C and D respectively which intersect at point E. Join points E and O and extend it to point X. We get the angle XOB=90 degree. Join the points O and D and extend it to point Y, so we get angle YOB=120 degree.Angle YOX=Angle YOB-Angle XOB=120-90=30 degreeNow let’s bisect the angle YOX.Draw two arcs of same radius keeping the centers D and F (point of intersection of EO and semicircle) which intersect at point G. Join GO.We get the angle GOB=105 degree
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