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the sum of the interior angles of a polygon is 900^{\\circ}. how many s…

Question

the sum of the interior angles of a polygon is 900^{\circ}. how many sides does it have?

select one:
a. 9
b. 8
c. 5
d. 6
e. 7

what is the formula for finding the sum of the interior angles of a polygon with n sides?

select one:
a. 90(n-2)
b. 180n
c. 180(n-2)
d. 180(n+2)

how many sides does a regular polygon have if each interior angle measures 120^{\circ}?

select one:
a. 7
b. 6
c. 8
d. 5
e. 4

Explanation:

Solve for the number of sides given the interior angle sum

$$ LATEXBLOCK0 $$

Identify the formula for the sum of interior angles

$$ S = 180(n-2) $$

Solve for the number of sides of a regular polygon with interior angle \(120^\circ\)

$$ LATEXBLOCK1 $$

Answer:

Question 1

  • a. 9
  • b. 8
  • c. 5
  • d. 6
  • e. 7 (Correct answer)

Question 2

  • a. 90(n-2)
  • b. 180n
  • c. 180(n-2) (Correct answer)
  • d. 180(n+2)

Question 3

  • a. 7
  • b. 6 (Correct answer)
  • c. 8
  • d. 5
  • e. 4