Master of Arts, John Carroll University, Cleveland, 1956. Doctor of Philosophy, Western Reserve University, Cleveland, 1964.
He served as an auxiliary bishop of the Diocese of Cleveland in the state of Ohio from 1982-2001. He was ordained a priest for the Diocese of Cleveland on April 29, 1950. On April 13, 1982 Pope John Paul II named him the Titular Bishop of Mercia and Auxiliary Bishop of Cleveland.
He was consecrated as bishop by Bishop Anthony Michael Pilla of Cleveland on July 2, 1982.
The principal co-consecrators were Archbishop Joseph Bernadin of Cincinnati and Bishop William Michael Cosgrove of Belleville. Pevec served the diocese as an auxiliary for nearly 21 years when Pope John Paul accepted his resignation on April 3, 2001.
Member vice president Slovenian-American Heritage Foundation, Cleveland, since 1975. Member of Knights of Columbus (state chaplain 2003-2005), Catholic Order Foresters 2000-2004, United States Catholic Conference (national advisory council 1996-1997), National Conference Catholic Bishops (committee on vocations 1984-1986, committee on pro-life activities 1990-1992, committee on priestly formation 1993-1995, committee on science and human values 1993-1996).