cobyjoseph cobyjoseph
  • 07-06-2022
  • Mathematics
contestada

Find the sum of the interior angles of the following polygon

Find the sum of the interior angles of the following polygon class=

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jimrgrant1 jimrgrant1
  • 07-06-2022

Answer:

540° and x = 85°

Step-by-step explanation:

the sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

here n = 5 , then

sum = 180° × 3 = 540°

2

sum the interior angles and equate to 540°

x + 115° + 95° + 115° + 130° = 540°

x + 455° = 540° ( sum 455° from both sides )

x = 85°

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