Question

Find the value of x in each case:

Answer 1

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°