The Angle Chain Quadrilateral
Geometry · 27th PMO Qualifying Stage
A convex quadrilateral $ABCD$ satisfies $\angle A = 2\angle B = 4\angle C = \angle D$. What is the measure of $\angle C$ rounded to the nearest integer degree?
A$11^\circ$
B$22^\circ$
C$33^\circ$
D$67^\circ$