in the adjacent figure ab is parllel to cd is to cd is parllel to ef and y is to z =3 is to 7. find x

in the adjacent figure ab is parllel to cd is to cd is parllel to ef a

1.	in the adjacent figure ab is parllel to cd is to cd is parllel to ef and y is to z =3 is to 7. find x
Answer» x=126Step-by-step explanation:it is GIVEN that x/z=3/7y=3/7 zlet angle CON=pnow CD parallel to EFSO p=z. (Alternate interior angle) .........(1)also, y+p=180 degree. (LINEAR pair)y+z=180 degree. (from equation 1)y+z=180degreeputting y=3/7 z3/7z +z=180degree3z+7z/7=180 degree10z/7=180 degreez=7/10180 degreez=126degreenow, y=3/7zputting z=126degreey=3/7126y=54 degreealso, AB parallel CD and MN is transversalwe know that SUM of interior angle on the same side of transversal is supplementaryx+y=180degreex+54degree=180degreex=180degree-54degreex=126 degreealternatively, AB parallel EF and MN is transversal THEREFORE x=z. (Alternate interior angle) x=126degree