Answer:
\[m\angle E+m\angle F={{110}^{\text{o}}}+{{80}^{\text{o}}}={{190}^{\text{o}}}>{{180}^{\text{o}}}\] This is not possible since the sum of the measures of the three angles of a triangle is \[\text{18}{{0}^{\text{o}}}\]. As such, the sum of two angles of a triangle cannot exceed\[\text{18}{{0}^{\text{o}}}\]. Hence, \[\Delta \text{DEF}\] cannot be constructed.
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