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28 January, 20:54

If a shape is a regular pentagon with five sides what must be true

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  1. 28 January, 21:05
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    Step-by-step explanation:

    A) it is symmetrical

    B) it has five lines of symmetry

    C) it has reflectional symmetry
  2. 28 January, 21:22
    0
    A pentagon is a closed 5 sided polygon.

    A regular polygon has all sides equal as well as all angles equal.

    °The formula to find the sum of all angles of a polygon is = (n-2) * 180

    So for a pentagon, n = 5

    So the sum of all the angles must be (5-2) * 180 = 3 * 180 = 540.

    Now as it is a pentagon, it shall have 5 vertices.

    So there are 5 angles in a pentagon and all must be equal.

    Hence each interior angle must be 540/5 = 108

    So for a regular polygon with 5 sides must have each interior angle = 108
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