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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 ∠ABC.
∴ ∠DBC = 72° x = 36°.
(iv) Again bisect ∠ABD in the same way then PB is the bisector of ∠ABD.
∴ ∠PBC = 36° +   x 36°
= 36° + 18° = 54°
Hence ∠PBC = 54°

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