# 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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