Q. 54.4( 8 Votes )
Draw an angle of 110° with the help of a protractor and bisect it. Measure each angle.
Steps of Construction:
(i) Draw a line segment BC and make the ∠ABC = 110° and draw an arc of any radius taking B as centre (say). This arc cuts arms BA and BC at E and D, respectively.
(ii) Now, taking E and D as centres and with the radius more than 1/2 ED, draw two equal arcs which cut each other at F (say).
(iii) Draw the ray BF.
On measuring each angle, we get,
∠ABF= ∠FBD = 1/2 ∠ABC
= 1/2 110°
Hence ∠ABF= ∠FBD = 55°
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