2017 InIMC keystage3-IWYMIC individual Question 10

Let $ABC$ be an isosceles triangle with $AB=AC$ and $\angle BAC=100^\circ$. A point $P$ inside the triangle $ABC$ satisfies that $\angle CBP=35^\circ$ and $\angle PCB=30^\circ$. Find the measure, in degrees, of angle $\angle BAP$.