construct <ABC=120° and bisect it.
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Answer:
Draw an angle of ∠AOB of 120°.
Draw an arc from point O. This arc will cut the ray OA at any point C and ray OB at any point D.
Draw two arcs of the same radii from the points C and D as centres.
Join the point O to the point M by a ray OM. ...
m∠AOM = m∠BOM =
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Steps of Construction :
(i) Draw a line segment BC.
(ii) With centre B and some suitable radius, draw an arc meeting BC at P.
(iii) With centre P and with same radius, cut arcs PQ and QR.
(iv) Join BR and produce it to A.
Then ∠ABC = 120°
(v) With centres P and R, draw two arcs intersecting each other at S.
(vi) Join BS and produce it to D. BD is the bisector of ∠ABC.
On measuring each angle, it is of 60° each. Yes, both angles are equal in measure.
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