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Find the value of x in each case:

Find the value of x in each case:-example-1

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Explanation:

Here < Rnp = 3x by exterior angle property of ∆RNM

Also rs|| np and rp is transversal.

So <PRS = < RPN = 78°(Alt.<s)

In ∆RNP,

3x + x + 78 = 180

=> 4x = 180-78 = 102°

So x = 102/4 = 51/2°

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