# A problem by Yahia El Haw

Level pending

$$ABCD$$ is a parallelogram. $$E$$ is a point on it. $$\overrightarrow { ED }$$ is a bisector for $$\hat { (ADC) }$$. $$\overrightarrow { EC }$$ is a bisector for $$\hat { (DCB) }$$ .$$F$$ is the midpoint of $$DC$$.