Given triangle ABC the point J is the center

SUBMITTED BY: latifbrur

DATE: March 1, 2018, 3:19 p.m.

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  1. Given triangle ABC the point J is the center of the excircle
  2. opposite the vertex A. This excircle is tangent to side BC at M , and to lines AB and AC at
  3. K and L, respectively. Lines LM and BJ meet at F , and lines KM and CJ meet at G. Let
  4. S be the point of intersection of lines AF and BC, and let T be the point of intersection of
  5. lines AG and BC. Prove that M is the midpoint of ST
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