Respuesta :

Answer:

The sum of the interior angle measures of the polygon is 540°

Step-by-step explanation:

The formula of the sum of the measures of the interior angles of a polygon is

∑m = (n - 2) × 180°, where n is the number of the sides of the polygon

In the given figure

∵ The polygon has 5 sides

n = 5

→ Use the formula above to find the sum of the interior angle measures of it

∵ ∑m = (5 - 2) × 180°

∴ ∑m = 3 × 180°

∑m = 540°

The sum of the interior angle measures of the polygon is 540°

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