Upgrade to access all content for this subject

$ABC$ and $BCE$ are triangles. Angle $C$ is $120$ degrees, and angle $A$ has twice the measure of angle $ABC$, which in turn has twice the measure of angle $CBE$.

What is the ratio of the measure of angle $A$ to angle $E$?

$2:1$

$3:2$

$5:2$

$7:4$

$3:1$