We are given an isosceles triangle with the following conditions:
Since this is an isosceles triangle, this means that its base angles are the same, that is:
[tex]\angle C=\angle B[/tex]
Moreover, the sum of the interior angles of any triangle must add up to 180 degrees, that is:
[tex]\angle C+\angle B+\angle A=180[/tex]
Replacing the known values we get:
[tex]4x+6+4x+6+72=180[/tex]
Adding like terms:
[tex]8x+84=180[/tex]
Solving for "x" first by subtracting 84 on both sides:
[tex]\begin{gathered} 8x+84-84=180-84 \\ 8x=96 \end{gathered}[/tex]
Dividing both sides by 8
[tex]x=\frac{96}{8}=12[/tex]
Therefore x = 12
