Question

In the given figure if PQ parallel to RS,RS Parallel TU and y:z =7:8,find x plz answer fast ​

Answer 1

Answer:

Step-by-step explanation:

X=z(alternate angles) then,

Let y=7xand z=8xthen

Y+z=180

7x+8x=180

X=12

Y=7x=7*12=84

Y=z(alternate angles) as we know

Z=84

As we find earlier that x=z

Therefore x=84

Answer 2

The value of x is 96°

Step-by-step explanation:

Since we have given that

The ratio of y:z is 7:8

So, y = 7w

z = 8w

Since, y=∠1 ( vertically opposite angles)

∠1 = 7x

So, ∠1 and z are interior angles on the same side of transversal.

Their sum would be supplementary.

So, it becomes,

$7x+8x=180^\circ\\\\15x=180^\circ\\\\x=\dfrac{180}{15}\\\\x=12^\circ$

And x = z by alternate interior angles which are equal.

So, the value of x is $12\times 8=96^\circ$

Hence, the value of x is 96°

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In the given figure if pq parallel rs. rs parallel tu and y:z=7:8 find x​

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