Rashaad Richardson led Georgia State with 21. Brandon McGee added 17.
Wilcox, a redshirt sophomore, opened the second half with two 3-pointers in Washington's first four possessions. His second swelled the lead to 54-36.
After spending last season as a 3-point specialist, Wilcox has been able to expand his game. He contributed six rebounds in addition to going 8-for-12 from the field and 5-for-8 from behind the 3-point line.
"If he's open, he's going to make it," Washington point guard Abdul Gaddy said. "Sometimes I feel like if I pass it to him, you can't look at the rim; you have to get back on defense. That's how good a shooter he is. Teams will be digging themselves into a hole if they leave him open."
Washington took control in the second half after leading 43-33 at halftime. The lead reached 20 at 61-41 when Aziz N'Diaye scored in the post with a hook off the glass. The gap later stretched to 26 points.
"I think (coach Lorenzo Romar) has a better team this year than he had last year," Georgia State coach Ron Hunter said. "This team's way better. He's got a really good basketball team. This easily could have been a 30- or 35-point game. But our guys kept fighting."
Wroten, a freshman guard, finished with 18 points, seven rebounds and three assists.
"Last week was kind of a game to get all the jitters out," Wroten said of an exhibition against Seattle Pacific. "Even though this was a real game that counted, I was just more relaxed and focused and more ready for the game."
Georgia State was not intimidated at the start.
After trailing 8-2 early, the Panthers rallied behind Richardson. He made five of his six 3-point attempts in the first half to finish with 15 points at the break.
Richardson tied the score at 23 after making 3-pointers on consecutive possessions, forcing a Washington timeout.
Wilcox answered with a 3-pointer out of the timeout. He led Washington with 12 points in the first half. Gant added 10 first-half points for Washington with a perfect 4-for-4 start. He scored the first five points of the game.
The Huskies extended their lead by using a smaller lineup with Gant at center and four guards.
They went up 38-28 with 2:19 left in the half after a layup from Wroten, their first double-digit lead. Wroten closed the half with another layup after going behind his back and getting to his preferred left hand for a 43-33 edge.
N'Diaye started and played 19 minutes a week after missing several practices and the exhibition game because of a concussion. He had five blocks and eight rebounds.
Washington announced after the game that 6-foot-10 freshman Jernard Jarreau would redshirt this season. Jarreau said he would work on his all-around game and continue to add weight. He has gained 13 pounds since arriving on campus.
Washington plays Florida Atlantic on Sunday on the second day of the three-day tournament. Georgia State will face Portland.
Huskies Basketball Win Season Opener, 91-74
The Huskies finished with four players in double figures, led by C.J. Wilcox's 22 points, in a 91-74 victory over Georgia State on Saturday in the World Vision Classic.