Question

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 1

Answer:

x=126

Step-by-step explanation:

it is given that x/z=3/7

y=3/7 z

let angle CON=p

now CD parallel to EF

so p=z. (Alternate interior angle) .........(1)

also,

y+p=180 degree. (linear pair)

y+z=180 degree. (from equation 1)

y+z=180degree

putting y=3/7 z

3/7z +z=180degree

3z+7z/7=180 degree

10z/7=180 degree

z=7/10*180 degree

z=126degree

now,

y=3/7z

putting z=126degree

y=3/7*126

y=54 degree

also, AB parallel CD and MN is transversal

we know that sum of interior angle on the same side of transversal is supplementary

x+y=180degree

x+54degree=180degree

x=180degree-54degree

x=126 degree

alternatively,

AB parallel EF and MN is transversal

therefore x=z. (Alternate interior angle)

x=126degree