How to constuct a 67 1/2 degree angle?

The below given steps will be followed to construct an angle of 135° and its bisector.

(1) ÐPOQ of 135º measure can be formed on a line *l* by using the protractor.

(2) Draw an arc of a convenient radius, while taking point O as centre. Let it intersect both rays of angle 135º at point A and B.

(3) Taking A and B as centres, draw arcs of radius more than AB in the interior of angle of 135º. Let those intersect each other at C. Join OC.

OC is the required bisector of 135º angle.

SO Angle COQ=67 HALF DEGREES