lilykhan566
Answered

At Westonci.ca, we connect you with the best answers from a community of experienced and knowledgeable individuals. Discover a wealth of knowledge from professionals across various disciplines on our user-friendly Q&A platform. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

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.......

Sagot :

Eddie1Wan

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

mhanifa

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°
We appreciate your time on our site. Don't hesitate to return whenever you have more questions or need further clarification. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.