Mathematics

Mathematics

Problem

In △DEF\triangle DEF, ∠E=47∘\angle E = 47^{\circ} and ∠F=63∘\angle F = 63^{\circ}. Side EFEF is produced to a point GG. a. (i) Find ∠D\angle D. b. (ii) Calculate the exterior angle ∠DFG\angle DFG. c. (iii) Name the two interior opposite angles whose sum you have verified equals ∠DFG\angle DFG and write that equality.

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