Which types of triangles can be formed by taking the cross-section of a rectangular prism like the one shown above?
1 answer:
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Answer:
Option (3). 72°
Step-by-step explanation:
Angle of rotational symmetry = Central angle of a polygon
That means when we rotate the regular polygon by a central angle, polygon overlaps itself.
Central angle of a polygon with n sides =
Where n = number of sides of the polygon
Therefore, central angle of a polygon with 15 sides =
= 24°
Central angle tells us that after every 24° of rotation, polygon overlaps itself.
Angle of rotational symmetry may be 48°, 72°, 96°.....
Therefore, Option (3) is the possible angle of rotational symmetry.