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CEMC Gauss (Grade 8), 2005

Geometry Difficulty 2.0 Junior Find the answer Canada

Four points $B, A, E, L$ are on a straight line, as shown. $G$ is a point off the line so that $\angle BAG = 120^\circ$ and $\angle GEL = 80^\circ$ . If the reflex angle at $G$ is $x^\circ$ , then $x$ equals

(A) $340$ (B) $200$ (C) $300$ (D) $240$ (E) $310$

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