Q. 54.4( 8 Votes )

Draw an angle of 110° with the help of a protractor and bisect it. Measure each angle.

Answer :

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°

= 55°

Hence ABF= FBD = 55°

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