The Measure of angle E is 55° and Length of the side EF is 12.49 units
The diagram is missing in the question and hence the diagram is shown below!!!
Given the triangle EDF with angle measures ∠D = 43° and ∠F = 82°.
As, we know, The sum of the measures of angles in a triangle is 180°.
So, we have,
∠E + ∠D + ∠F = 180°
i.e. ∠E + 43° + 82° = 180°
i.e. ∠E = 180° - 125°
i.e. ∠E = 55°
Thus, the measure of angle E is 55°.
Further we have
15/sin55 = EF / sin43
∴ EF = 15*sin43/sin55
∴EF = 10.23/0.189
EF = 12.49 units
Hence the length of side of EF is 12.49 units
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