Olympiad Maths Prep

Track / Stage 4 / 137 of 340 #397 of 2000

Problem 397

AMC 12 late, AIME early
Geometry Difficulty 4.7 Find the answer

41. In ABC\triangle A B C, it is known that A=60\angle A=60^{\circ}, the nn-section lines of ABC\angle A B C and the nn-section lines of ACB\angle A C B intersect at G1G_{1}, G2G_{2}, G3G_{3}, \cdots, Gn1G_{n-1}. When n=10n=10, BG9C=\angle B G_{9} C= \qquad degrees. (where the integer n2n \geqslant 2)

Official solution

Answer: 72

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