Maths / Constructions / Construction of Angle and Angle Bisector

QUESTION

Draw an angle of 135 and bisect it. Mention the steps of construction.

EXPLANATION
Explain TypeExplanation Content
Text
• 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.
• Now let’s bisect angle YOA=90 degree. Draw two arcs of same radius keeping the centers F and G respectively, which intersect at point H. Join points H and O and extend it to point Y.
• We get the angle YOB =135 degree.
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