Thursday, December 23, 2010

Problem 549: Parallel lines, Transversal, Angles

Proposed Problem
Click the figure below to see the complete problem 549.

 Problem 549: Parallel lines, Transversal, Angles.
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Level: High School, SAT Prep, College geometry

3 comments:

  1. extend AO to E, E on L2
    => x external ang of AEB

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  2. Let line BO intersect L1 in point F.
    As L1 || L2,measure angle OFA = b...(alternate angles test)
    Consider triangle OFA, by exterior angle theorem
    measure angle OFA + measure angle FAO =measure angle AOB.
    Hence, a + b = x

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  3. Brings ray Οy // L 1,then x=<BOA=<BOy+<yOA=a+b.
    APOSTOLIS MANOLOUDIS 4 HIGH SHCOOL OF KORYDALLOS PIRAEUS GREECE

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