Results 1 to 12 of 12

Math Help - Calculate the values of x and y (Question on angle)

  1. #1
    Member
    Joined
    Jan 2011
    Posts
    104

    Calculate the values of x and y (Question on angle)



    Additional information: The diagram shows a rhombus PQRS. Calculate the values of x and y.

    Can I assume that both are isosceles triangle? Even if it is, I calculated and found out that the answers are not constant

    How should I go around to solve this?

    Thanks

    P.S Sorry that the picture is blurred, but the numbers are, "5x-20", "2x+13", "3x", "y".
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Prove It's Avatar
    Joined
    Aug 2008
    Posts
    11,406
    Thanks
    1294

    Re: Calculate the values of x and y (Question on angle)

    Quote Originally Posted by FailInMaths View Post


    Additional information: The diagram shows a rhombus PQRS. Calculate the values of x and y.

    Can I assume that both are isosceles triangle? Even if it is, I calculated and found out that the answers are not constant

    How should I go around to solve this?

    Thanks

    P.S Sorry that the picture is blurred, but the numbers are, "5x-20", "2x+13", "3x", "y".
    It should be obvious that opposite angles in a rhombus are equal...
    Follow Math Help Forum on Facebook and Google+

  3. #3
    MHF Contributor
    Joined
    Oct 2009
    Posts
    5,513
    Thanks
    769

    Re: Calculate the values of x and y (Question on angle)

    I get that the sum of two angles adjacent to one side is not 180 degrees, though.
    Follow Math Help Forum on Facebook and Google+

  4. #4
    MHF Contributor
    Prove It's Avatar
    Joined
    Aug 2008
    Posts
    11,406
    Thanks
    1294

    Re: Calculate the values of x and y (Question on angle)

    Quote Originally Posted by emakarov View Post
    I get that the sum of two angles adjacent to one side is not 180 degrees, though.
    Can you see that 2x + 13 = 5x - 20?
    Follow Math Help Forum on Facebook and Google+

  5. #5
    MHF Contributor
    Joined
    Oct 2009
    Posts
    5,513
    Thanks
    769

    Re: Calculate the values of x and y (Question on angle)

    Quote Originally Posted by Prove It View Post
    Can you see that 2x + 13 = 5x - 20?
    Yes, I am saying that after finding x, this does not seem to be a rhombus.
    Follow Math Help Forum on Facebook and Google+

  6. #6
    MHF Contributor
    Prove It's Avatar
    Joined
    Aug 2008
    Posts
    11,406
    Thanks
    1294

    Re: Calculate the values of x and y (Question on angle)

    Quote Originally Posted by emakarov View Post
    Yes, I am saying that after finding x, this does not seem to be a rhombus.
    It's a rhombus because you're told it's a rhombus...
    Follow Math Help Forum on Facebook and Google+

  7. #7
    MHF Contributor
    Joined
    Oct 2009
    Posts
    5,513
    Thanks
    769

    Re: Calculate the values of x and y (Question on angle)

    Quote Originally Posted by Prove It View Post
    It's a rhombus because you're told it's a rhombus...
    I have a problem for you: the three angles of a triangle are 70 + x, 80 +x and 90 + x degrees. Find x.
    Follow Math Help Forum on Facebook and Google+

  8. #8
    Member
    Joined
    Jan 2011
    Posts
    104

    Re: Calculate the values of x and y (Question on angle)

    Guys, every detail of the question is stated here accurately
    Follow Math Help Forum on Facebook and Google+

  9. #9
    MHF Contributor
    Joined
    Oct 2009
    Posts
    5,513
    Thanks
    769

    Re: Calculate the values of x and y (Question on angle)

    Well, from 2x + 13 = 5x - 20 and y = 3x we get x = 11 and y = 33, so angle P + angle Q = 35 + 66 = 101, whereas in a rhombus it should be 180.
    Follow Math Help Forum on Facebook and Google+

  10. #10
    MHF Contributor
    Joined
    Dec 2009
    Posts
    3,120
    Thanks
    1

    Re: Calculate the values of x and y (Question on angle)

    The diagram is just a "typical" rhombus (or should it read parallelogram ?),
    just not the shape in question.
    Follow Math Help Forum on Facebook and Google+

  11. #11
    MHF Contributor

    Joined
    Aug 2006
    Posts
    18,605
    Thanks
    1574
    Awards
    1

    Re: Calculate the values of x and y (Question on angle)

    Quote Originally Posted by emakarov View Post
    Well, from 2x + 13 = 5x - 20 and y = 3x we get x = 11 and y = 33, so angle P + angle Q = 35 + 66 = 101, whereas in a rhombus it should be 180.
    All my calculations agree with the above.
    This problem contains inconsistent data.
    Follow Math Help Forum on Facebook and Google+

  12. #12
    Member
    Joined
    Jan 2011
    Posts
    104

    Re: Calculate the values of x and y (Question on angle)

    Thanks for confirming my doubts guys
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. calculate the angle
    Posted in the Geometry Forum
    Replies: 3
    Last Post: April 25th 2010, 08:04 AM
  2. How to calculate this angle?
    Posted in the Trigonometry Forum
    Replies: 2
    Last Post: January 18th 2010, 05:02 PM
  3. Calculate angle
    Posted in the Trigonometry Forum
    Replies: 2
    Last Post: December 16th 2009, 10:47 AM
  4. Calculate Torsion angle
    Posted in the Geometry Forum
    Replies: 0
    Last Post: December 2nd 2008, 01:31 AM
  5. [SOLVED] Calculate car values
    Posted in the Algebra Forum
    Replies: 1
    Last Post: October 26th 2005, 11:07 PM

/mathhelpforum @mathhelpforum