Amar2020
Amar2020 Amar2020
  • 15-03-2021
  • Mathematics
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What is the SUM of the INTERIOR angles in the figure

What is the SUM of the INTERIOR angles in the figure class=

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sqdancefan
sqdancefan sqdancefan
  • 15-03-2021

9514 1404 393

Answer:

  • sum of interior angles: 720°
  • x = 97.5

Step-by-step explanation:

The sum of interior angles of a hexagon is ...

  180°(n -2) = 180°(6 -2) = 720°

__

The sum of the angles shown is ...

  4x +330 = 720

  x = 390/4 = 97.5 . . . . . . . . subtract 330 and divide by 4

__

The angle measures CW from lower left are 90°, 150°, 145°, 137.5°, 80°, 117.5°.

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