Question

lines l parallel m parallel n and y:z=3:4, find x

Answer 1

x=z is the answer is x=103

Answer 2

Solution:

Given that y : z = 3 : 7

Let y = 3a

Then z = 7a

x and z are alternate interior angles of parallel lines so that

x=z (1)

Sum of interior angle on the same side of the transversal is always = 180

So that

x + y = 180

put the value of x from equation (1)

z + y = 180

put the value of z and y we get

7a + 3a = 180

10 a = 180

a = 180/10

a = 18

y = 3a = 3x18 = 54

z = 7a = 7x18 = 126

x = z = 126