Question

if AB || CD, CD || EF and y:z = 3:7, find X​

Answer 1

$\boxed{ \bigstar \tt SOLUTION}$

Since, AB || CD and CD || EF (Lines parallel to the same line are parallel to each other) ..........eq(i)

therefore, AB || EF

.°. x=z (Alternate Interior Angles) (ii)

x+y= 180°

(Consecutive interior angles on the same side of the transversal GH to parallel lines AB and CD)

From (i) and (ii),

z+ y = 180°

Given y : z =3:7

Now, sum of the ratios = 3 + 7 = 10

$\therefore y = \frac{3}{1 \cancel0} \times 18 \cancel0 \degree = 54\degree \: and \: z = \frac{7}{1 \cancel0} \times 18 \cancel0 \degree = 126\degree$

$since \: x = z$

$\underline{ \boxed{ \therefore x = 126 \degree}}$

(fig. in attachment)

Answer 2

Answer:

x = 126 ° please mark me brainlist