Question

In Fig. 6.29, if AB || CD, CD || EF and y: Z=3:7, find x.​

Answer 1

$\blue{ \Large{\boxed{ \tt{ \red{Answer : }}}}}$

If AB || CD, Then, DC || BA

Answer 2

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°