missramen missramen
  • 07-04-2021
  • Mathematics
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Find the measures of all the interior angles of the non-convex figure below.

Find the measures of all the interior angles of the nonconvex figure below class=

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thebecks
thebecks thebecks
  • 07-04-2021

Answer:

angle 3x = 78°

angle opposite (4x + 30) = 226°

Step-by-step explanation:

It has 6 sides, so:

total interior angles sum = (180° x 6) - 360° = 720°

720° = 90° + 3x + 90° + 118° + (360° - (4x + 30°)) + 118°

combine like terms:

720° = 3x + 416° + (360° - 4x - 30°)

720° = -x + 746°

x = 26°

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