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Draw an angle of 140° with the help of a protractor and bisect it using ruler and compasses. - Mathematics

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Question

Draw an angle of 140° with the help of a protractor and bisect it using ruler and compasses.

Diagram

Solution


Steps of construction:

(i) Draw ∠BAC = 140° with the help of protractor.

(ii) With A as centre and any convenient radius, draw an arc, cutting AC and AB at Q and P respectively.

(iii) With centre P and radius more than `1/2 (hat(PQ))`, draw an arc.

(iv) With centre Q and the same radius as before, draw another arc, cutting the previously drawn arc at a point S.

(v) Join AS and produce it to any point X. Then, ray AX bisects ∠CAB.

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Chapter 9: Symmetry and Practical Geometry - Exercise [Page 144]

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NCERT Exemplar Mathematics [English] Class 6
Chapter 9 Symmetry and Practical Geometry
Exercise | Q 77 | Page 144

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