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Worksheet: Interior Angles and Number of Sides of a Polygon

Q1:

Find π‘₯ and 𝑦 .

  • A π‘₯ = 2 2 . 5 ∘ , 𝑦 = 1 5 7 . 5 ∘
  • B π‘₯ = 1 3 5 ∘ , 𝑦 = 4 5 ∘
  • C π‘₯ = 1 5 7 . 5 ∘ , 𝑦 = 2 2 . 5 ∘
  • D π‘₯ = 4 5 ∘ , 𝑦 = 1 3 5 ∘

Q2:

Each interior angle of a polygon is . How many sides does it have?

  • A720
  • B180
  • C540
  • D360

Q3:

Each interior angle of a polygon is . How many sides does it have?

  • A6
  • B4
  • C5
  • D3

Q4:

Each interior angle of a polygon is . How many sides does it have?

  • A20
  • B5
  • C15
  • D10

Q5:

Find the measure of one interior angle of a regular polygon that has 5 sides.

Q6:

Anthony finds a building that has a triangular base. If he were to walk around the building, finishing at the same point, in the same direction, how many degrees would he turn?

Q7:

Write an expression for the sum of the sizes of the interior angles of a polygon with sides.

  • A
  • B
  • C
  • D
  • E

Q8:

What is the fomula for the size of the interior angle of a regular polygon with sides?

  • A
  • B
  • C
  • D

Q9:

What is the size of the interior angle of a regular pentagon?

  • A
  • B
  • C
  • D

Q10:

Determine, to the nearest minute, the size of the interior angle of a regular polygon that has 30 sides.

  • A
  • B
  • C
  • D