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The angle bisector is formed when a line or line segment divides an angle into two equal parts.
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Follow the below steps, construct the bisector of the ∠ABC with the measure 60°.
 
Step 1: Draw the given angle ∠ABC with the measure 60° using the protractor.
 
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Step 2: Taking A as centre and convenient radius, draw an arc to cut AB and AC. Mark the points of intersection as E on AB and F on AC.
 
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With the same radius and E as centre, draw an arc in the interior of ∠CAB and another arc of same measure with centre at F to cut the previous arc.
 
AG is the required bisector of the given angle ∠CAB.
 
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Mark the point of intersection as G. Draw a ray AX through G.