In the adjacent figure AB|| CD., CD|| EF and y:z esiquelto 3:7, find x

1.	In the adjacent figure AB\|\| CD., CD\|\| EF and y:z esiquelto 3:7, find x
Answer» Given In the adjacent figure AB\|\|CD; CD \|\| EF and y:z =3:7, find x.y / z = 3 / 7\xa0y = 3 / 7 zCD is parallel to EFy + z = 180 (alternate interior angle)\xa03/7 z + z = 180\xa03z + 7z / 7 = 180\xa010 z = 1260 z = 126 degree\xa0So y = 3/7(126) y = 54 degreeAB is parallel to CDThere is a transversal in between. We know that sum of interior angles of same side of transversal is supplementary. So x + y = 180x + 54 = 180x = 180 - 54\xa0x = 126 degreeAB is also parallel to EF and x = z.Hence x = 126 degree

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