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The interior angle of a regular polygon ...

The interior angle of a regular polygon is `156^@` Find the number of sides of the polygon.

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To find the number of sides of a regular polygon given that its interior angle is \(156^\circ\), we can follow these steps: ### Step-by-Step Solution: 1. **Understand the formula for the interior angle of a regular polygon**: The formula for the interior angle \(A\) of a regular polygon with \(N\) sides is given by: \[ A = \frac{(N-2) \times 180}{N} ...
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Knowledge Check

  • The ratio between the exterior angle and the interior angle of a regular polygon is 1:3 . Find the number of the sides of the polygon.

    A
    `12`
    B
    `6`
    C
    `8`
    D
    `10`
  • The sum of the measure of the interior angles of a polygon is 540^(@) . Find the number of sides of the polygon.

    A
    8
    B
    7
    C
    6
    D
    5
  • Each interior angle of a regular polygon is 144^@ . The number of sides of the polygon is:

    A
    10
    B
    11
    C
    9
    D
    8
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    The sum of interior angles of a polygon is 144^@ . Find the number of sides of the polygon.