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Natalka [10]
3 years ago
14

How to do this question plz answer ​

Mathematics
2 answers:
const2013 [10]3 years ago
7 0

9514 1404 393

Answer:

  60

Step-by-step explanation:

The exterior angles of the polygon are the supplement of the interior angles, so are ...

  180° -174° = 6° . . . . measure of each exterior angle

The sum of exterior angles is 360°, so ...

  n(6°) = 360°

  n = 360°/6° = 60

The polygon has 60 sides.

sergey [27]3 years ago
7 0

Answer:

The polygon has 60 sides.

Step-by-step explanation:

Each interior angle = 174°

Each exterior angle = 180° - 174° = 6°

Sum of all exterior angles = 360°

6x = 360° (<u>x</u> <u>=</u> <u>no</u>. <u>of</u> <u>exterior</u> <u>angles</u>)

x = 360°/6

x = 60

If it has 60 exterior angles it has 60 interior angles.

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