Question

in the adjacent figure AB||CD , EF , CD and ged = 126°, find age, gef and fge
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Answer 1

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 )