Artwork of Geometry Problem 550.
Level: Mathematics Education, High School, Honors Geometry, College.
Click the diagram below to enlarge it.
Monday, March 23, 2015
Geometry Problem 550
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Artwork of Geometry Problem 550.
Level: Mathematics Education, High School, Honors Geometry, College.
Click the diagram below to enlarge it.
Let A, B, C, D, X be the vertices containing angles a, b, c, d, x respectively.
ReplyDeleteExtend line BC to meet L1 at E and L2 at F.
Clearly <CEX = <BF L2 = a + b.
Extend CD to meet L1 at G.
Clearly <CGX = a + b + c.
Hence x = a + b + c + d