IMAS 2015 Junior Division — Round 1 Question 3

Question 3

In a quadrilateral $ABCD$, $AB\parallel DC$, $BC\parallel ED$, $AD=AE$ and $\angle C=110^\circ$. What is the measure of $\angle A$?

Question illustration

$20^\circ$
$35^\circ$
$40^\circ$
$55^\circ$
$70^\circ$