Draw a pair of vertically opposite angles. Bisect each of the two angles. Verify that the bisecting rays are in the same line.

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Solution

Steps of construction :

(i) Draw two lines AB and CD intersecting each other at O.

(ii) Draw the bisector of $∠ A O D$ and also the bisector of $∠ B O C$ which are OP and OQ respectively. We see that OP and OQ are in the same straight line.

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Draw a pair of vertically opposite angles. Bisect each of the two angles. Verify that the bisecting rays are in the same line.

Steps of construction : (i) Draw two lines AB and CD intersecting each other at O. (ii) Draw the bisector of ∠AOD and also the bisector of ∠BOC which are OP and OQ respectively. We see that OP and OQ are in the same straight line.

Steps of construction :

(i) Draw two lines AB and CD intersecting each other at O.

(ii) Draw the bisector of $∠ A O D$ and also the bisector of $∠ B O C$ which are OP and OQ respectively. We see that OP and OQ are in the same straight line.