Answer: The value of 'n' is 6.
Step-by-step explanation: Given that ΔXWZ is an isosceles triangle, where XZ = n, WZ = 2n - 5, and the perimeter of the triangle is 20 units.
We are to find the value of 'n'.
As given in the figure, in ΔXWZ,
WX = WZ.
So, WX = 2n - 5.
We know that the perimeter of a triangle is equal to the sum of its three sides, so the perimeter of ΔXWZ is given by
[tex]P=XZ+WX+WZ=n+(2n-5)+(2n-5)=5n-10.[/tex]
According to the question, we have
[tex]P=20\\\\\Rightarrow 5n-10=20\\\\\Rightarrow 5n=30\\\\\Rightarrow n = 6.[/tex]
Thus, the value of 'n' is 6.
