Question

In a given figurr AB||DE and BC||EF,if<ABC=82° then find 1) <DGC 2) <DEF 3)<EGC

Answer 1

ABC=DGC= 82 ( corresponding angles)
DGC=GET = 82 ( corresponding angles)
DGC + EGC = 180 (by linear pair)
82 + EGC = 180
EGC = 180 - 82
EGC = 98
Hope it will helpful for you...
Rahul

Answer 2

angle ABC = angle DGC = 82degrees ( by corresponding angles)

angle ABC = angle DEF = 82degrees ( by correspondin angles)

angle DGC + angle EGC = 180degrees ( by linear pair)
= 82 - angle EGC = 180degrees
= angle EGC = 180 - 82
= angle EGC = 98degrees

hope it help you