Question

In the adjacent figure AB || CD; CD || EF and

x : y = 7 : 5, find z value​

Answer 1

Given that,

AB ||CD;CD||EF

x:y=7:5.................... (1)

here,

x+y=180(alternate interior angles)

from........ (1)

7x+5x=180

12x=180

x=180/12

x=15

7x=105

5x=75

x and y are equal so,

x=105, y=75, z=105