Respuesta :

Answer:

D

Step-by-step explanation:

Sum of interior angle = (n-2)180

900 = (n - 2)180

Opening bracket

900 = 180n - 360

180n = 900 + 360

180n = 1260

n = 1260/180

n = 7

The polygon has an interior angle sum of 900° is polygon D

Sum of an interior angle of a polygon

The equation for the sum of interior angle is given as (n-2)180

Substitute

900 = (n - 2)180

Expand the parenthesis

900 = 180n - 360

180n = 900 + 360

180n = 1260

n = 1260/180

n = 7

This shows that the required polygon must have 7 sides. Hence the polygon has an interior angle sum of 900° is polygon D

Learn more on sum of interior angles here: https://brainly.com/question/24966296

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