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IRISSAK [1]
3 years ago
7

Literally 50 points for whoever can answer this

Mathematics
1 answer:
Liula [17]3 years ago
6 0

Answer:

  • 92°

Step-by-step explanation:

<u>Sum of internal angles of a regular polygon is:</u>

  • S = 180(n - 2)

<u>We have here 5-sided polygon:</u>

  • S = 180*(5 - 2) = 180°*3 = 540°

<u>Now sum the given angles measures and solve for x:</u>

  • 3x + 1 + 2x + 15 + 3x - 10 + 3x - 8 + 5x - 2 = 540
  • 16x - 4 = 540
  • 16x = 544
  • x = 544/16
  • x = 34°

<u>Find the measure of angle R:</u>

  • m∠R = 3x - 10 = 3*34 - 10 = 102 - 10 = 92
  • m∠R = 92°
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