Question

2. In Fig. 6.29, ifAB || CD, CD || EF and y: z=3:7,

find x.​

Answer 1

Answer:

x= 126°

Step-by-step explanation:

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°

plug the value of x from equation (1)

z + y = 180°

plug 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°