A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

iiAriana

  • one year ago

In the figure below, angle y and angle x form vertical angles. Angle y forms a straight line with the 80° angle and the 60° angle. - - - Write and solve an equation to determine the measure of angle x.

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

    1 Attachment
  2. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Here is the figure. |dw:1436386396920:dw|

  3. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    The lines in bold black are lines and form angles x and y. |dw:1436386494600:dw|

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

    Okay

  5. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    What is the sum of the measures of angles 1, 2, 3, and 4. When a bunch of angles add up to a straight angle, what do their measures add up to? |dw:1436386563967:dw|

  6. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Are you familiar with a straight angle?

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

    Some what

  8. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Ok. Here is a refresher for your memory.

  9. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Opposite rays are rays that lie on the same line, have the same endpoint, but they go in different directions. Here is line m. |dw:1436386851147:dw|

  10. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Here are points A, O, and B, on line m. |dw:1436386879204:dw|

  11. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Now look at rays OA and OB. They are opposite rays because they lie on the same line, have the same endpoint, and go in different directions.

  12. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    The angle formed by rays OA and OB is angle AOB. Angle AOB is a straight angle and its measure is 180 degrees.

  13. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    A straight angle is an angle formed by opposite rays. The measure of a straight angle is 180 degrees.

  14. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1436387052745:dw|

  15. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Do you remember straight angles better now?

  16. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    The angles measuring x, 80 and 60 form a straight angle, so their measures add up to 180 deg. |dw:1436387213264:dw|

  17. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Now you can write an equation that can be solved for x.

  18. 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.