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Andre45 [30]
2 years ago
6

Mhanifa can you please help? This is due soon. Look at the picture attached. I will mark brainliest!

Mathematics
1 answer:
TEA [102]2 years ago
5 0

Answer:

  • 84°
  • 125°

Step-by-step explanation:

<u>Sum of the interior angles of a regular polygon:</u>

  • S(n) = 180°(n - 2), where n- number of sides
<h3>Exercise 4</h3>

<u>Pentagon has sum of angles:</u>

  • S(5) = 180°(5 - 2) = 540°

<u>Sum the given angles and find x:</u>

  • x° + 122° + 100° + 90° + 144° = 540°
  • x° + 456° = 540°
  • x° = 540° - 456°
  • x° = 84°
<h3>Exercise 5</h3>

<u>Hexagon has sum of angles:</u>

  • S(6) = 180°(6 - 2) = 720°

<u>Sum the given angles and find x:</u>

  • x° + 110° + 160° + 105° + 105° + 115° = 720°
  • x° + 595° = 720°
  • x° = 720° - 595°
  • x° = 125°
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