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