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IMAS 2013 Junior Division First Round Question 21

IMAS · IMAS 2013 Junior Division First Round

Question 21

The diagram shows a regular pentagon $ABCDE$ with a point $M$ on $AB$ and a point $N$ on $AE$. The pentagon is folded along the segment $MN$ so that the vertex $A$ is now inside the original pentagon. What is the measure of $\angle AMB+\angle ANE$, in degrees?

Question illustration