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angle chasing starting with a 120-40-20 triangle ABC, | CP | = | AB | - | BC |

Source: 2019 VWO Flanders MO p3

August 7, 2020
geometryanglesAngle Chasing

Problem Statement

In triangle △ABC\vartriangle ABC holds ∠A=40o\angle A= 40^o and ∠B=20o\angle B = 20^o . The point PP lies on the line ACAC such that CC is between AA and PP and ∣CP∣=∣AB∣−∣BC∣| CP | = | AB | - | BC |. Calculate the ∠CBP\angle CBP.
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