Question 83

Bisect $∠ X Y Z$ in the given figure.

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Solution

Steps of construction are as follows:

Step I: With Y as a centre and using a compass, draw an arc that cuts both rays of $∠ Y$ . Label point of intersection as A and B.

Step II: With A as centre, draw (in the interior $∠ Y$ an arc, whose radius is more than half the length AB.

Step III: With B as centre and the same radius draw another arc in the interior of $∠ Y$ . Let the two arc intersect at D. Join YD. Then, $¯ ¯¯¯¯¯¯¯ ¯ Y D$ is the required bisector of $∠ X Y Z$

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Question 83 Bisect ∠XYZ in the given figure.

Question 83

Bisect $∠ X Y Z$ in the given figure.