Question

In fig., if AB।। CD, EF and y:z=3:7, find x.​

Answer 1

Answer:

Considering line AB || EF angle x and z are interior alternate angles and hence they are congruent

Therefore; angle x is congruent to angle z

Therefore ratio of y:x will also be the same to y:z i.e 3:7

so..... Let the common ratio be a

so y=3a and z=7a

3a+ 7a=180.....(consecutive interior angles are supplementary)

10a=180

a=18

y=3×18=54

x=7×18=126