Euclidean Geometry: 8.2.1 & 8.2.2 Solutions

AI Thread Summary
The discussion focuses on solving problems related to Euclidean geometry, specifically sections 8.2.1 and 8.2.2. In 8.2.1, the user establishes relationships between angles and segments using the tangent chord theorem, identifying cyclic quadrilaterals based on opposite supplementary angles. For 8.2.2, the user seeks assistance in proving that angle E2 is equal to angle G1, with G1 being defined as 90 degrees due to parallel lines. The user also notes an issue with an image not loading, which may hinder the discussion. Overall, the thread emphasizes geometric proofs and relationships in the context of the given problems.
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1. Homework Statement
http://img195.imageshack.us/img195/5122/200282.gif

Homework Equations





The Attempt at a Solution



8.2.1)
Let D1 = x
D4=D1
=x
D4=L1 (tan chord theorem)
L1=x

D1=L2
L2=x

angle KLM=2x
KNM=2x(opp angles in //gram)
ENF=2x(vert. opp angles)
EDF=180-2x(supp. angles)

therefore DENF is cyclic quad, opp supp angles ENF and EDF.

8.2.2

E2=x(tan chord theorem)
G1=90 (KM//HJ)

I need help trying to prove E2 is = to G1
 
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