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Question -

Using a protractor, draw an angle of measure 72┬░. With this angle as given, draw angles of measure 36┬░ and 54┬░.



Answer -

Steps of construction :
(i) Draw an angle ABC = 12┬░ with the help of protractor.
(ii) With centre B and a suitable radius, draw an arc EF.
(iii) With centre E and F, draw arcs intersecting
each other at G and produce it to D.
Then BD is the bisector of тИаABC.
тИ┤ тИаDBC = 72┬░ x┬а= 36┬░.
(iv) Again bisect тИаABD in the same way then PB is the bisector of тИаABD.
тИ┤ тИаPBC = 36┬░ +┬а┬а┬аx 36┬░
= 36┬░ + 18┬░ = 54┬░
Hence тИаPBC = 54┬░

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