Wygodzki was born to a family of Hasidic Jews. His family moved to Vilnius in 1860 where his father was a merchant, supplying the local garrison of the Imperial Russian Army with clothes. He was the eldest of seven brothers and received traditional Jewish education at a cheder. He studied at Marijampolė Gymnasium and Imperial Military Medical Academy in Saint Petersburg. He was arrested for anti-Tsarist activities and involvement with a revolutionary group. Later he studied medicine in Vienna, Berlin, Paris. In 1884, he returned to Vilnius and established his practice as gynecologist and pediatrician. He published medical articles in Russian and German journals. He joined Jewish cultural and political life. He was one of the first Zionist activist in Vilnius and chaired their organization. In 1905, during the Russian Revolution, he was one of the founding members of the Constitutional Democratic Party in Vilnius Region. In 1908, he established and chaired the Union of Jewish Doctors. During World War I, he was a member of a Jewish relief committee and established daily Yiddish newspaper Flugblat. For anti-German protests, he was arrested by the German police in March 1917 and imprisoned in the Czersk POW camp until April 1918. He supported Lithuanian independence, and together with Nachmanas Rachmilevičius and Simon Yakovlevich Rosenbaum was co-opted to the Council of Lithuania on December 11, 1918. The same day he became the first Lithuanian Minister for Jewish Affairs. He held the post briefly as he did not evacuate from Vilnius with the rest of the government at the start of the Lithuanian–Soviet War. He was briefly imprisoned by the Bolsheviks. In 1919, when Poland captured Vilnius, Wygodzki was chairman of the Jewish community in the city. He opposed the Żeligowski's Mutiny and the Republic of Central Lithuania and urged people to boycott the elections in 1922. Nevertheless, he accepted the situation and became a member of the Bloc of National Minorities and was elected to the Polish parliament in 1922 and 1928. In the Sejm, Wygodzki worked to improve Jewish education in Hebrew and Yiddish languages. He was also a member of the Vilnius Council from 1919 to 1929. Wygodzki contributed to the press, publishing his articles in Tsayt, Vilner Tog, Haynt, Nasz Przegląd, and others. He published three books of his memoirs: In shturm on the German occupation during World War I; In gehenom on his imprisonment by the Germans; and In Sambatyon on his activities in the Sejm. After the invasion of Polandin September 1940, Wygodzki organized relief for the Jewish refugees. In June 1941, Nazi Germanyinvaded the Soviet Union and occupied the city. Wygodzki joined the pre-ghetto Judenrat on July 24. He was arrested at the end of August and died in the Lukiškės Prison.