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The value of x such that ∠MNQ and ∠PNR are vertical angles is 40

How to determine the value of x?

The given parameters are:

MNQ = 3x - 6

PNR = 114

Vertical angles are equal.

So, we have:

3x - 6 = 114

Add 6 to both sides

3x = 120

Divide both sides by 3

x = 40

Hence, the value of x is 40

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