Question

Here please helppppppppppppp

Answer 1

Answer:

• Part 2 - ∠EGF = 105°
• Part 3 - ∠D = 65

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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°.

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Step-by-step explanation for Part-3:

We know that:

• CD = CA
• This 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°

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