Question

in fig. 6.29,if AB||CD ,CD||EF and y:z = 3:7, find x​

Answer 1

Step-by-step explanation:

AB||CD ,CD||EF

y:z = 3:7

let y = 3a

z = 7a

L DOF = y = 3a ( vertically opposite angles)

L DOF + z = 180. (sum of interior angle)

3a + 7a = 180

10a = 180

a = 180/10

a = 18°

it means

y = 3a = 3×18 = 54°

z = 7a = 7×18 = 126°

x + y = 180°. (sum of interior angle)

x +54= 180

x = 180-54

x = 126°

Answer 2

x=54°

Hope it helps you