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Lerok [7]
2 years ago
5

A polygon has 15 sides.

Mathematics
1 answer:
Olegator [25]2 years ago
3 0

Answer:

  • The sum of the eight interior angles not adjacent to these exterior angles is 1280°.

=================

<h2>Given </h2>

  • A 15-sided polygon with sum of 7 exterior angles 200°.

<h2>To find </h2>

  • The sum of the 8 interior angles, remote to known 7 angles.

<h2>Solution</h2>

<u>We know that:</u>

  • sum of all exterior angles of a polygon is 360°.
  • sum of each interior and exterior angle pair is 180°.

So the sum of the 8 exterior angles is:

  • 360° - 200° = 160°

Sum of both interior and exterior angles of 8 angles:

  • 180°×8 = 1440°

Sum of those 8 interior angles is:

  • 1440° - 160° = 1280°
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Step-by-step explanation:

The complete question is:

Type the correct answer in each box. Use numerals instead of words. If necessary, use/ for the fraction bar(s).

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