Üçgende Açıortay Sorusu

ABC üçgen, A, B, E ve A, C, F noktaları doğrusal, [BD], $\widehat{EBC}$ nın, [CD], $\widehat{BCF}$ nın açıortayı, $m(\widehat{EAF}) = \alpha + 10^{\circ}$, $m(\widehat{BDC}) = \alpha + 25^{\circ}$

Yukarıdaki verilere göre, $\alpha$ kaç derecedir?

A) 35 B) 40 C) 45 D) 50 E) 55

Soruda görsel içerik var: The image shows a geometry problem involving a triangle ABC. Points A, B, E are collinear, and A, C, F are collinear. Line segments BD and CD act as angle bisectors for the exterior angles EBC and BCF respectively. The angle at vertex A is given as alpha + 10 degrees, and the angle BDC is given as alpha + 25 degrees. The intersection of the angle bisectors forms a triangle BDC.