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You can tell if you are given both of the activation energies. If the forward rxn Ae is greater than the reverse rxn Ae, then it is endothermic, because the reverse reaction takes less energy to occur. If the reverse rxn Ae is greater than the forward rxn Ae, then it is exothermic, because the forward rxn takes less energy to occur.
When comparing the two the endothermic reaction Ae will be higher, than that of an exothermic reaction. If you look up graphs of the progress reaction and reference the different lengths of the activation energy I think it will be more clear to you as of why.
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