Find the sum of the angle measures of a hexagon

Posted By Admin @ September 03, 2022

Question:

Find the missing angle measure in the hexagon.

1. The sum of the measures of the interior angles of a hexagon is
540
613
720
1080
2. The measure of the missing angle is
86
94
107
144

Answer:

Answer:

  • C. 720°
  • C. x = 107°

Step-by-step explanation:

1. Use the formula below to find the sum of interior angles of the regular polygon:

  • S = 180°(n - 2)

Applying to hexagon:

  • S = 180°(6 - 2) = 180°(4) = 720°

Correct option is C

2. Sum of the angles of the given hexagon:

  • 94° + 167° + 98° + 122° + 132° + x = 720°
  • 613° + x = 720°
  • x = 720° - 633°
  • x = 107°

Correct option is C

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