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The total sum of the interior angles of a polygon can be calculated using the formula ((n - 2) \times 180^\circ), where (n) is the number of sides. For a 45-sided shape, this would be ((45 - 2) \times 180^\circ = 43 \times 180^\circ = 7,740^\circ). Therefore, the total of all the angles in a 45-sided shape is 7,740 degrees.

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