Question

Segment CD is parallel to FG, LaTeX: m\angle FED=126m ∠ F E D = 126LaTeX: ^\circ∘, and LaTeX: m\angle FCE=42^\circm ∠ F C E = 42 ∘.

Math 2 Mod 3 3.png

Find the measure of LaTeX: \angle AFG∠ A F G.

Answer 1

Step-by-step explanation:

AB∥CD, EF⊥CD, ∠GED=126

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According to the question,

∠FED=90

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(EF⊥CD)

Now,

∠AGE=∠GED (Since, AB∥CD and GE is transversal. Alternate interior angles.)

∴∠AGE=126

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Also,

∠GEF=∠GED−∠FED

⇒∠GEF=126

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−90

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⇒∠GEF=36

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Now,

∠FGE+∠AGE=180

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(Linear pair)

⇒∠FGE=180

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−126

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⇒∠FGE=54

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Answer 2

Answer:

angle fge is 54

Step-by-step explanation:

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