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Question -

Draw a linear pair of angles. Bisect each of the two angles. Verify that the two bisecting rays are perpendicular to each other.



Answer -

Steps of construction :
(i) Draw a linear pair тИаDCA and тИаDCB.
(ii) Draw the bisectors of тИаDCA and тИаDCB. Forming тИаECF on measuring we get тИаECF = 90┬░.
Verification : тИ╡тИаDCA + тИаDCB = 180┬░
тЗТ┬а тИаDCA +┬а┬атИаDCB =┬а180┬░ x┬а = 90┬░
тИ┤ тИаECF = 90┬░
i.e. EC and FC are perpendicular to each other.

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