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Part 2 - ∠EGF = 105° Part 3 - ∠D = 65

Step-by-step explanation for Part-2:

We know that:

∠EFG = 32°∠AEG = 137°∠EFG + ∠FGE + ∠GEF = 180°

Work:

∠EFG + ∠FGE + ∠GEF = 180°32 + ∠FGE + (180 - 137) = 180°=> 32 + ∠FGE + 43 = 180°=> 75 + ∠FGE = 180°=> ∠FGE = 180 - 75=> ∠FGE = ∠EGF = 105°

Hence, the measure of ∠EGF is 105°.

Step-by-step explanation for Part-3:

We know that:

CD = CAThis triangle is an isosceles triangle.∠D = ∠A

Work:

50 + ∠D + ∠A = 180=> ∠D + ∠D = 130=> 2∠D = 130=> ∠D = 130/2=> ∠D = 65

Hence, the measure of ∠D is 65°