Proposed Problem
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Level: High School, SAT Prep, College geometry
Thursday, December 23, 2010
Problem 549: Parallel lines, Transversal, Angles
Labels:
angle,
parallel,
transversal
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extend AO to E, E on L2
ReplyDelete=> x external ang of AEB
Let line BO intersect L1 in point F.
ReplyDeleteAs 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
Brings ray Οy // L 1,then x=<BOA=<BOy+<yOA=a+b.
ReplyDeleteAPOSTOLIS MANOLOUDIS 4 HIGH SHCOOL OF KORYDALLOS PIRAEUS GREECE
Draw a line thru O which is // to L1 & L2
ReplyDelete