Question

In the diagram given below, transversal TV intersects PQ and RS at V and W , respectively. For which value of x is PQ || RS ?

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Answer 1

Step-by-step explanation:

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Answer 2

Given :

• In the diagram given below, transversal TV intersects PQ and RS at V and W.

To find :

• Value of x is PQ || RS =?

Step-by-step explanation :

It is Given that [According to the given figure]

∠TVQ = 5x - 22

∠UWS = 3x + 10

Now,

We have to find the value of x. So,

∠TVQ = ∠UWS [Corresponding Angle]

Substituting the values, we get,

➮ 5x - 22 = 3x + 10

➮ 5x - 3x = 10 + 22

➮ 2x = 32

➮ x = 32/2

➮ x = 16.

Therefore, We got the values of x = 16.