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You are watching: How to construct 135 degree angle


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1. Construction of edge 105 degree using compass:(Refer fastened image)

Steps:

Draw a line abdominal muscle and mark point O ~ above it wherein angle is to it is in drawn.With O as center draw an arc (semicircle) which intersects the line abdominal muscle at point out H and also I. Maintaining the same...

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1. Construction of angle 105 degree using compass:(Refer fastened image)

Steps:

Draw a line ab and mark point O on it whereby angle is to be drawn.With O as center draw an arc (semicircle) i beg your pardon intersects the line abdominal muscle at points H and I.Keeping the exact same radius as above and H as center, draw an arc i beg your pardon intersects the semicircle at suggest C. Without transforming the radius as above and C as center, attract an arc i beg your pardon intersects the semicircle at point D. (The points C and also D correspond to 60 and 120 degrees angle respectively).Now draw two arcs of same radius maintaining the centers together C and also D respectively which crossing at allude E.Join clues E and also O and also extend it to suggest X.We obtain the angle XOB=90 degree.Join the points O and D and extend the to point Y, so we gain angle YOB=120 degree.Angle YOX=Angle YOB-Angle XOB=120-90=30 degreeNow let’s bisect the angle YOX.Draw 2 arcs of same radius maintaining the centers D and F (point of intersection that EO and also semicircle) which crossing at suggest G. Sign up with GO.We get the angle GOB=105 degree.

Note: us have created angle that 105 degree as amount of 2 angles that 90 and also 15 degrees. Alternately it deserve to be constructed as sum of two angles the 60 and also 45 degrees.

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2. Construction of angle 135 degree using compass: (Refer attached image)

Repeat actions 1 to 6 as declared above.Now let’s bisect edge YOA=90 degree. Attract two arcs of exact same radius maintaining the centers F and also G respectively, which crossing at allude H.Join points H and O and extend the to allude Y.We get the edge YOB =135 degree.