Help my hair is falling out becasue of my thyroid?

i was diagnosed with graves decease and when under iodine radiation, but then i when from hyperthyrodism to havign hypothyrodism and not i am taking 100mg of levothyroxine which has been making my hair fall out i have been under this madecation for the past 2 months and since i started taking it i haven noticed that my hair is falling out. is there any one with any suggestions out there to take in order to stop my hair from falling out?