Q8 of 805 Page 17

Using ruler and compasses only, draw an angle of measure 135°.

The steps of the required construction are:

1) Draw a line segment BC. Taking any arbitrary point A on line segment BC as the center and any radius draw a semicircle, intersecting BC at points D and E.



2) Taking D as the center draw an arc of any radius greater than . Now, Taking E as the center and the keeping the same radius, draw another arc, intersecting the previous arc at F. Join AF, which intersects the semicircle at point G.



3) Taking G as the center draw an arc of any radius greater than . Now, Taking E as the center and keeping the same radius, draw another arc, intersecting the previous arc at H. Join AH.



4) ∠BAF=135°.


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