A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • 4 years ago

Find x and y. Picture is shown.

  • This Question is Closed
  1. anonymous
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

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

    Alright, we have two variables, x and y, and we have two equations. So let's set up the system: 65+11+11+y+x=180 y+3x+x=180 You can solve it now, right?

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

    I have an answer, but I don't even know if it's correct.

  4. Directrix
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    From the inner triangle, 3x + y + x = 180 because the sum of the interior angles of a triangle is 180. The angles of the outer triangle are (11 + y ) and 65 and (11 + x). (11 + y ) + 65 + (11 + x) = 180.

  5. Directrix
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    We have two equations to solve simultaneously. (1) 3x + y + x = 180 (2) (11 + y ) + 65 + (11 + x) = 180

  6. Directrix
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    (1) 4x + y = 180 (2) x + y + 87 = 180 (2) x + y = 93

  7. Directrix
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    equation (1) 4x + y = 180. In place of y, we will substitute the value of y from equation (2). (2) x + y = 93 so y = 93 - x

  8. Directrix
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    4x + y = 180 4x + ( 93 - x ) = 180 4x + 93 - x = 180 3x = 180 - 93 3x = 87 x = 29 y = 93 - x = 93 - 29 = 64

  9. 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.