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Question

Draw an angle ofmeasure153° and divide it intofour equal parts.

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Solution

The below given stepswill be followed to construct an angle of 153º measure and itsbisector.

(1) Draw a line l and mark a point O on it. Place the centreof the protractor at point O and the zero edge along line l.

(2) Mark a point A at 153º. Join OA. OA is the required raymaking 153º with line l.

(3) Draw an arc of convenient radius, while taking point O as centre.Let it intersect both rays of angle 153º at point A and B.

(4) Taking A and B as centres, draw arcs of radius more than ABin the interior of angle of 153º. Let those intersect each otherat C. Join OC.

(5) Let OC intersect the major arc at point D. Now, with radius morethan AD,draw arcs while taking A and D as centres, and D and B as centres.Let these be intersecting each other at point E and F respectively.Join OE, OF.

OF,OC, OE are the rays dividing 153º angle in 4 equal parts.


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