No, a figure cannot have a smallest angle of symmetry of 45° because 45° is not a divisor of 360°. For rotational symmetry, the angle must divide 360° evenly.
Class 6 Mathematics Chapter 9 Symmetry question answer
Class 6 NCERT Ganita Prakash Chapter 9 Symmetry
A figure cannot have a smallest angle of symmetry of 45° because 45° is not a divisor of 360°. For rotational symmetry, the smallest angle of symmetry must divide 360° evenly. In cases where the smallest angle is 45°, there would be no symmetry at specific intervals. For example, regular shapes like squares, triangles, or hexagons have rotational symmetry where the angles are divisors of 360° (such as 90°, 60°, etc.).
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