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IMAS 2012 Junior First Round Question 24

IMAS · IMAS 2012 Junior First Round

Question 24

The diagram below shows four line segments $AB$, $BC$, $CD$ and $DA$ on the plane where $\angle ABC=24^\circ$ and $\angle ADC=42^\circ$. Point $E$ is on the extension of line $BA$, and the angle bisectors of $\angle DAE$ and $\angle BCD$ intersects at point $N$. What is the measure, in degrees, of $\angle ANC$?

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