The Gulls beat Barnet 3-2 in their relegation 'six pointer' and move up to 20th in League Two, but just one point above the relegation zone with two games to go.
Elliot Benyon, Billy Bodin and Brian Saah scored the goals at Plainmoor.
Plymouth Argyle won 2-1 at Chesterfield thanks to first-half goals from Joe Bryan and Curtis Nelson. They're up to 17th.
In League One, Lee Johnson was victorious over his father Gary as Oldham beat Yeovil 1-0 at Boundary Park.
More top news
Emergency services say they will working long into the night to deal with a fire that began in a music shop near the centre of Exeter.
Leon Dexter was set upon by the birds in Ilfracombe in the latest in a series of attacks by seagulls in our region.
Emergency services are tackling the fire on Sidwell Street near the centre of Exeter.