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Question 77

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


Solution

The bisector of an angle is a ray whose end point is the vertex of the angle and which divides the angle into two equal angles.

Steps of construction:

Step I: Draw an angle B=140

Step II: With B as a centre and using a compass, draw an arc which cuts both rays of B at A and C.

Step III: With A as centre, draw (in the interior of B an arc whose radius is more than half the length of AC

Step IV: With C as centre and with the same radius and draw another arc, in the interior of B let the two arcs intersect at D. Then  ¯¯¯¯¯¯¯¯¯BD is the required bisector of B.


Mathematics
NCERT Exemplar
Standard VI

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