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Practical Geometry — MATHS STD 6 — Question

Gujarat BoardEnglish MediumSTD 6MATHSPractical Geometry1 Mark
MCQ
With the help of ruler and compass, it is not possible to construct an angle of:
  • A
    $60^\circ$
  • B
    $15^\circ$
  • ✓
    $38^\circ$
  • D
    $135^\circ$
✓

Answer

Correct option: C.
$38^\circ$
$60^\circ$ can be easily constructed by making a single arc on a supplementary angle using a compass.
$15^\circ$​​​​​​​ can be constructed by bisecting $60^\circ$​​​​​​​ twice.
$135^\circ$ can be constructed by first drawing an angle of $90^\circ$ and bisecting its obtuse side.
So $38^\circ$​​​​​​​ can not be constructed using rule and compass.

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