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Lilykhan566go
Answered

WILL MARK BRAINLIEST TO THE BEST ANSWERS. The interior angles of a pentagon measure x°, (2x)°, (2.5x)° , (x + 10)° , and (2x + 20)°. Determine the value of x. PLEASE SHOW ALL SOLUTIONS NESSICARY. THANK YOU.......

Answer :

Eddie1Wango

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

Mhanifago

Answer:

  • x = 60°

Step-by-step explanation:

Sum of interior angles of a regular polygon is:

  • 180°(n-2)

Pentagon has 5 sides, so sum of angles is:

  • 180°(5-2) = 180°*3 = 540°

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

  • x + 2x + 2.5x + (x +10) + (2x + 20) = 540°
  • 8.5x + 30° = 540°
  • 8.5x = 510°
  • x = 510°/8.5
  • x = 60°

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