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  1. #1
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    Parallel lines angles

    Parallel lines angles

    I need help with the following sat math geometry question:

    "In the figure below, a Transversal crosses two parallel lines l and p. Find the value of x"


    Click image for larger version. 

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    Thanks

  2. #2
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    Parallel lines angles

    Parallel lines angles question
    I need help with the following sat math geometry question:

    "In the figure below, a Transversal crosses two parallel lines l and p. Find the value of x"


    Click image for larger version. 

Name:	parallel_lines.jpg 
Views:	5 
Size:	8.8 KB 
ID:	39

    Thanks
    Definitions
    A transversal is a line that interesects two or more lines.
    Alternate interior angles are two non adjacent interior angles on opposite sides of a transversal.
    Alternate exterior angles are two non adjacent exterior angles on opposite sides of a transversal.
    Corresponding angles are two non adjacent exterior angles on the same side of a transversal such that one is an exterior angle and the other is an interior angle.
    Same side interior angles are two non adjacent interior angles on the same side of a transversal.
    Linear pairs are two adjacent angles which are supplementary ( are pairs of angles that add up to 180 degrees).
    Vertical angles are two non adjacent angles formed by a pair of intersecting lines that share a vertex.

    Also holds the following propositions:
    If two parallel lines are cut by a transversal, the alternate interior angles are congruent.
    If two lines are cut by a transversal and the alternate interior angles are congruent, the lines are parallel.
    If two parallel lines are cut by a transversal, the alternate exterior angles are congruent.
    If two lines are cut by a transversal and the alternate exterior angles are congruent, the lines are parallel.
    If two parallel lines are cut by a transversal, the corresponding angles are congruent.
    If two lines are cut by a transversal and the corresponding angles are congruent, the lines are parallel.
    If two parallel lines are cut by a transversal, the interior angles on the same side of the transversal are supplementary.
    If two lines are cut by a transversal and the interior angles on the same side of the transversal are supplementary, the lines are parallel.
    If two angles form a linear pair, they are supplementary.
    Vertical angles are congruent.


    So, regarding to your question the two angles are supplementary



    Hope these help!!
    Last edited by kadence; 07-27-2013 at 02:05 PM.

  3. #3
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    Thank you for your detailed answer!!

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