Which polygon has an interior angle sum of 900°

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
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
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