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. If the sum of all interior angles of a polygon is 16 right angles, then find the number of sides of the polygon.

Question

If the sum of all interior angles of a polygon is 16 right angles, then find the number of sides of the polygon.

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Solution

Sure, here is the step by step solution:

  1. We know that the sum of all interior angles of a polygon is given by the formula (n-2) * 180 degrees, where n is the number of sides of the polygon.

  2. In this case, the sum of all interior angles is given as 16 right angles. We know that 1 right angle is equal to 90 degrees. So, 16 right angles is equal to 16 * 90 = 1440 degrees.

  3. Substituting the given sum of interior angles into the formula, we get:

    (n-2) * 180 = 1440

  4. Simplifying this equation, we get:

    n - 2 = 1440 / 180

  5. Solving for n, we get:

    n = 1440 / 180 + 2

  6. Therefore, the number of sides of the polygon is n = 8.

This problem has been solved

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