Question

please answer this question quickly
in given figure if AB//CD,CD//EF and y:z, is = 3:7 then x is:
a)136'
b)96'
c)126'
d)86'​

Answer 1

Answer:

answer is 126

Step-by-step explanation:

AB||BC AND BC||EF

therefore AB||CD ||EF

y:z=3:7

let the ratio be a

y=3a & z=7a

AB || EF , PQ is transversal line

so x=z (alternative interior angles)

AB||CD , GH is transversal line

x+y=180 (co interior angle)

z + y =180 (x=y)

7a+3a=180

10a=180

a=18

x=z=7×18=126

&

y=3×18=54

so x is 126

hope it helps