Final answer:
The sum of the interior angles of a 52-gon is calculated using the formula (n - 2) × 180°, giving us 9000° as the result.
Step-by-step explanation:
To find the sum of the interior angles of any polygon, we can use the formula (n - 2) × 180°, where n is the number of sides in the polygon. In the case of a 52-gon, we have:
Sum of interior angles = (52 - 2) × 180°
= 50 × 180°
= 9000°
Therefore, the sum of the measures of the interior angles of a 52-gon is 9000°.
The final answer is provided in a two line explanation stating the formula to calculate the sum of interior angles of a polygon and then applying it to a 52-sided polygon to arrive at the final result in less than 300 words.