Results 1 to 2 of 2

Math Help - Trapezoid angles

  1. #1
    Junior Member
    Joined
    Jan 2008
    Posts
    63

    Trapezoid angles

    The measures of the interior angles of a trapezoid are in the ratio of 3:4:5:6. What is the measure of the largest interior angle?

    120 is the solution but why?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member
    earboth's Avatar
    Joined
    Jan 2006
    From
    Germany
    Posts
    5,807
    Thanks
    116
    Quote Originally Posted by donnagirl View Post
    The measures of the interior angles of a trapezoid are in the ratio of 3:4:5:6. What is the measure of the largest interior angle?

    120 is the solution but why?
    The sum of all 4 interior angles is 360.

    The sum of all parts of your proportions is 3 + 4 + 5 + 6 = 18

    Therefore one part of the proportions correspond to 360/18 = 20

    The greatest angle contains 6 parts so 6 * 20 = 120
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. principle angles and related acute angles
    Posted in the Trigonometry Forum
    Replies: 4
    Last Post: December 19th 2011, 06:40 AM
  2. Compound Angles or Double Angles?
    Posted in the Trigonometry Forum
    Replies: 8
    Last Post: July 25th 2010, 09:05 AM
  3. Replies: 1
    Last Post: January 7th 2009, 06:07 PM
  4. trapezoid
    Posted in the Geometry Forum
    Replies: 1
    Last Post: December 14th 2008, 07:23 AM
  5. trapezoid
    Posted in the Geometry Forum
    Replies: 1
    Last Post: September 22nd 2007, 08:56 PM

Search Tags


/mathhelpforum @mathhelpforum