IMC 2023 Grade 7 — Selection round Question 7

Question 7

In isosceles triangle $ABC$, $AB=AC$. The bisectors of $\angle ABC$ and $\angle ACB$ meet at $I$. Given $\angle CIA=130^\circ$, find $\angle CAB$.

Question illustration

$20^\circ$
$22^\circ$
$25^\circ$
$27^\circ$
$30^\circ$