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MathNet 2019-part-06 — 184 problems (EN–VI) Question 132

Math Olympiad Vault · MathNet 2019-part-06 — 184 problems (EN–VI)

Question 132

In a convex quadrilateral the exterior angles are in the ratio $7: 4: 6: 1$. In what ratio are the interior angles of this quadrilateral at the same vertices?
(A) $2: 5: 3: 8$
(B) $8: 3: 5: 2$
(C) $1: 6: 4: 7$
(D) $7: 4: 6: 1$
(E) $11: 14: 12: 17$