VTMO 2015 — Grade 9 — semifinal Question 5

Question 5

A circle is divided into $12$ equal arcs labeled A through $L$. In the picture $x = \angle EAG$ and $y = \angle AGI$. Find $x + y$.

Question illustration

$70 ^{\circ}$
$80 ^{\circ}$
$90 ^{\circ}$
$120 ^{\circ}$
$150 ^{\circ}$