Question

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

Answer 1

To construct an angle of measure $70°$and its copy listed below are the steps that are to be followed

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

(ii) Locate a point A at an angle of measure $70°$. Join OA. Now OA is the ray making $70°$ with line l. With point O as centre, draw an arc of convenient radius in the interior of $70°$ angle. Let this intersects both rays of angle $70°$ at points B and C respectively

(iii) Draw a line m and mark a point P on it. Again draw an arc with same radius as before and P as centre. Let it cut the line m at point D

(iv) Adjust the compasses up to the length of BC. With this radius draw an arc taking D as centre which intersects the previously drawn arc at point E.

(v) Join PE. Here PE is the required ray which makes same angle of measure $70°$with the line m