in the fig, if AB parallel to CD,CD parallel to EF find y :z =3:7find x
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Step-by-step explanation:
Given,
y : z = 3 : 7.
Let,
y = 3k and z = 7k.
Now,
∠x and ∠z are alternate interior angles of parallel lines so that,
∠x = ∠z ---- (*)
Sum of interior angle on the same side of the transversal is always 180°.
x + y = 180° ---- (1)
Place the value of x from equation (1),
z + y = 180°
Place the value of z and y we get,
7k + 3k = 180°
10k = 180°
k = 18
Then,
y = 3k = 54°
z = 7k = 126°
x = z = 126°(From (*))
Therefore,
x = 126°
Hope it helps!
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