Question

3. . In Fig. 6.30, if AB II CD, EF 1 CD and
ZGED=126°, findZAGE,ZGEF and ZFGE,​

Answer 1

Answer:

Step-by-step explanation:

∠AGE=∠GED=126  ∘

 (Alternate angles)

∠GED=∠GEF+∠FED

126 ∘

=∠GEF+90  ∘

 ∠GEF=126 ∘  −90∘  =36  ∘

∠CEG+∠GED=180 ∘  

(Supplementary angles)

 ∠CEG+126∘  = 180∘

∠CEG=180  ∘ −126  ∘  =54  ∘

∠FGE=∠CEG=54  ∘

(Alternate angles )