Maths Olympiad Prep

Library / CEMC Pascal /69 of 603

CEMC Pascal, 1999

Geometry Difficulty 1.0 Junior Find the answer Canada

In the diagram, a circle is divided by lines through its centre into four regions with angles 110°110°, a°a°, b°b°, and 60°60° marked, where a°a° and b°b° are adjacent to each other and to the 110°110° and 60°60° angles respectively. The value of a+ba+b equals

(A) 1010 (B) 8585 (C) 110110 (D) 170170 (E) 190190

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