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in Geometry by (46.3k points)

Draw an angle of measure 135° and bisect it.

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

(1) ∠POQ of 135° 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 135° at point A and B.

(3) Taking A and B as centres, draw arcs of radius more than \frac{1}{2} AB in the interior of angle of 135°. 

Let those intersect each other at C. Join OC.

OC is the required bisector of 135° angle.

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