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Question

Draw an angle of 70°.Make a copy of it using only a straight edge and compasses.

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Solution

The below given stepswill be followed to construct an angle of 70º measure and itscopy.

(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 70º. Join OA. OA is the ray making 70ºwith line l. Draw an arc of convenient radius in the interiorof 70º angle, while taking point O as centre. Let it intersectboth rays of angle 70º at point B and C.

(3) Draw a line m and mark a point P on it. With the sameradius as used before, again draw an arc while taking point P ascentre. Let it cut the line m at point D.

(4) Now, adjust the compasses up to the length of BC. With thisradius, draw an arc while taking D as centre, which will intersectthe previously drawn arc at point E.

(5) Join PE. PE is the required ray which makes the same angle (i.e.70º) with line m.


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