What features of gum is best for repairing broken plastic parts? Our whirlpool wash machine starter latch snapped sour and my husband can...

Our whirlpool wash machine starter latch snapped sour and my husband can fix it; all he have to do is reattach the broken plastic part to the most important part. What sympathetic of glue (superglue, etc...) should he use?
The cog itself costs about $30, gum is cheaper...for now...