A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • one year ago

The measures of the angles in a quadrilateral are represented by x, 2x, 3x, and 3x. Write an equation that would allow you to solve for the value of x. Solve for the value of x

  • This Question is Closed
  1. welshfella
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    the 4 angles in a quadrilateral add up to 360 degrees so we have x +_ 2x + 3x + 3x = 360

  2. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    We need the same formula again. Use the formual with n = 4. What do you get for S?

  3. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \(S = (n - 2)180\) In this problem, n = 4 since a quadrilateral has 4 sides.

  4. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I got 360

  5. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Good. The sum of the measures of the angles is 360.

  6. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    We are told the 4 angles measure: x, 2x, 3x, and 3x. If we add up those measures, we get: \(x + 2x + 3x + 3x\) We know the angle measures must add up to 360 from the formula, so that means \(x + 2x + 3x + 3x = 360\) Now we can solve this equation for x.

  7. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    We add all the terms on the left side: \(9x = 360\) Now we divide both sides by 9: \(x = 40\)

  8. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.