Worksheet: Applications of Interior Angles in Polygons

In this worksheet, we will practice finding a missing angle measure in a regular polygon by either using a formula or geometrical constructions.

Q1:

What is the sum of the interior angles of a hexagon?

  • A 1 0 8 0
  • B 5 4 0
  • C 9 0 0
  • D 7 2 0

Q2:

This is a regular polygon. Find 𝑚 𝑥 .

Q3:

A certain company makes hot tubs in a variety of different shapes. Find the size of an interior angle of the regular nonagon model.

  • A
  • B
  • C
  • D
  • E

Q4:

What is the sum of the interior angles of a pentagon?

  • A 3 6 0
  • B 4 5 0
  • C 7 2 0
  • D 5 4 0

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