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in Geometry by (46.3k points)

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

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The below given steps will be followed to construct an angle of 70° measure and its copy.

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

(2) Mark a point A at 70°. Join OA. OA is the ray making 70° with line l. Draw an arc of convenient radius in the interior of 70° angle, while taking point O as centre. Let it intersect both rays of angle 70° at point B and C.

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

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

(5) Join PE. PE is the required ray which makes the same angle (i.e. 70°)

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