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skelet666 [1.2K]
2 years ago
15

Here please helppppppppppppp

Mathematics
1 answer:
skelet666 [1.2K]2 years ago
7 0

Answer:

  • Part 2 - ∠EGF = 105°
  • Part 3 - ∠D = 65
<h3>________________________________________________</h3>

Step-by-step explanation for Part-2:

<u>We know that:</u>

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

<u>Work:</u>

  • ∠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°.

<h3>________________________________________________</h3>

Step-by-step explanation for Part-3:

<u>We know that:</u>

  • CD = CA
  • This triangle is an isosceles triangle.
  • ∠D = ∠A

<u>Work:</u>

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

Hence, the measure of ∠D is 65°

<h3>________________________________________________</h3>
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