[tex]given \: that \ \: : [/tex]
PQR is an isosceles triangle .
So , their opposite base angles will be equal .
As ∠R and ∠Q are the opposite base angles of △PQR their measures will be equal .
Which means :-
Which means :-
[tex]4(x - 8) = 2x + 13[/tex]
[tex]4x + ( - 32) = 2x + 13[/tex]
[tex]4x - 32 = 2x + 13[/tex]
[tex]4x - 32 - 2x = 13[/tex]
[tex]2x - 32 = 13[/tex]
[tex]2x = 13 + 32[/tex]
[tex]2x = 45[/tex]
[tex]x = \frac{45}{2} [/tex]
[tex]x = 22.5[/tex]
Therefore ,
[tex]x = 22.5[/tex]
