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geniusboy [140]
3 years ago
5

WILL MARK BRAINLIEST TO THE BEST ANSWERS. The interior angles of a pentagon measure x°, (2x)°, (2.5x)° , (x + 10)° , and (2x + 2

0)°. Determine the value of x. PLEASE SHOW ALL SOLUTIONS NESSICARY. THANK YOU.......
Mathematics
2 answers:
Llana [10]3 years ago
8 0

Answer:

  • x = 60°

Step-by-step explanation:

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

  • 180°(n-2)

<u>Pentagon has 5 sides, so sum of angles is: </u>

  • 180°(5-2) = 180°*3 = 540°

<u>For the given pentagon we have sum of angle measures as below, and solving for x:</u>

  • x + 2x + 2.5x + (x +10) + (2x + 20) = 540°
  • 8.5x + 30° = 540°
  • 8.5x = 510°
  • x = 510°/8.5
  • x = 60°
nalin [4]3 years ago
6 0

Answer:

x=60

Step-by-step explanation:

The sum of interior angles of a regular Pentagon is 540°

x+2x+2.5x+x+10+2x+20=540

8.5x=540-30

8.5x=510

x=510/8.5=60

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