30° Solution: In $\triangle\text{ABC}$ $\angle\text{ABC}+\angle\text{BAC}+\angle\text{ACB}=180^\circ$(Angle sum property) $\angle\text{ABC}=180^\circ-90^\circ-40^\circ$ $\angle\text{ABC}=50^\circ$ In $\triangle\text{BED}$ $\angle\text{BED}+\angle\text{EBD}+\angle\text{BDE}=180^\circ$(Angle sum property) $\angle\text{EBD}=180^\circ-50^\circ-100^\circ$ $\angle\text{EBD}=30^\circ$
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