Drawing and Measuring is Prohibited

Geometry Level 4

\(\triangle ABC\) is an isosceles triangle with \(m\angle BAC=100^\circ\) and \(AB=AC\). \(BP\) and \(CP\) intersects at \(P\), with \(\angle CBP=10^\circ\) and \(\angle BCP=20^\circ\). Find \(\angle CAP\), in degrees.

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