Question

AB||CD, EF perpendicular CD and angle GED=127°, than the value of angle AGE, angle GEF, angle FGE

Answer 1

Hey

 ∠AGE=126°

∠AGE=∠GED=126∘ 

 

[alternate interior angles]

 

(ii) ∠GED=∠GEF+∠FED=126∘

⇒∠GEF+90∘=126°

(given that EF⊥CD)

 

⇒∠GEF=126°−90°=36°


(iii) ∠CEG+∠GED=180∘

 (given ∠GED=126∘)

 

⇒∠CEG+126°=180∘

 ⇒∠CEG=180∘−126∘ 

⇒∠CEG=54∘

∠FGE=∠CEG=54∘      

 (alternate angles)

 ✔✔✔✔✔✔✔✔

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