Let ABC be a right isosceles triangle with right angle at A. Let E and F be points on AB and AC respectively such that ∠ECB=30o and ∠FBC=15o. Lines CE and BF intersect at P and line AP intersects side BC at D. Calculate the measure of angle ∠FDC.
Source: 2020 Argentina OMA L3 p3
Tags: geometry, angles, right triangle, isosceles
Let ABC be a right isosceles triangle with right angle at A. Let E and F be points on AB and AC respectively such that ∠ECB=30o and ∠FBC=15o. Lines CE and BF intersect at P and line AP intersects side BC at D. Calculate the measure of angle ∠FDC.