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Lesson: Interior Angles and Number of Sides of a Polygon

Sample Question Videos

Worksheet • 10 Questions • 2 Videos

Q1:

Find π‘₯ and 𝑦 .

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

Q2:

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

  • A ( 𝑛 βˆ’ 2 ) Γ— 1 8 0 ∘
  • B 𝑛 Γ— 9 0 ∘
  • C 2 𝑛 Γ— 9 0 ∘
  • D ( 𝑛 βˆ’ 2 ) Γ— 1 8 0 2 𝑛 ∘
  • E ( 𝑛 βˆ’ 2 ) Γ— 1 8 0 2 ∘

Q3:

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

Q4:

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

  • A
  • B
  • C
  • D
  • E

Q5:

Each interior angle of a polygon is 1 7 9 ∘ . How many sides does it have?

Q6:

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

  • A ( 𝑛 βˆ’ 2 ) Γ— 1 8 0 𝑛 ∘
  • B 1 8 0 Γ— ( 𝑛 βˆ’ 1 ) ∘
  • C ( 𝑛 βˆ’ 2 ) Γ— 1 8 0 2 ∘
  • D ( 𝑛 βˆ’ 2 ) Γ— 9 0 𝑛 ∘

Q7:

Shady 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?

Q8:

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

  • A 1 6 8 0 β€² ∘
  • B 8 4 0 β€² ∘
  • C 1 7 4 0 β€² ∘
  • D 4 2 0 β€² ∘

Q9:

Each interior angle of a polygon is 6 0 ∘ . How many sides does it have?

Q10:

Each interior angle of a polygon is 1 4 4 ∘ . How many sides does it have?

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