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Gnom [1K]
2 years ago
10

Use the formula to find the total sum for the interior angles for a polygon with 7 sides.

Mathematics
1 answer:
larisa86 [58]2 years ago
8 0

Answer:

Sum = 900°

Step-by-step explanation:

Sum  of interior angles = 180·(n-2),

where n is the number of sides the polygon has

Sum = 180·(7-2)

Sum = 180·5

Sum = 900°

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Answer:

  12. (x, D, E, F) = (8, 38°, 75°, 67°)

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Step-by-step explanation:

The sum of angles in a triangle is 180°. We choose to write the equations assuming all measures are degrees.

12. (5x -2) +(9x +3) +(11x -21) = 180

  25x = 200 . . . . . . . add 20, simplify

  x = 8 . . . . . . . . . divide by 25

Then the angle measures are ...

  ∠D = 5(8) -2 = 38°

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  15x = 195 . . . . . . . . . . add 15, simplify

  x = 13 . . . . . . . . . divide by 15

Then the angle measures are ...

  ∠P = 10(13) -4 = 126°

  ∠Q = 4(13) -22 = 30°

  ∠R = 13 +11 = 24°

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