This is the isosceles triangle. Therefore, the angles at the base are congruent.
We know that the sum of the measures of the angles in a triangle is 180°.
Therefore we have the equation:
[tex]38^o+x^o+x^o=180^o[/tex]
[tex]38^o+2x^o=180^o[/tex] subtract 38 from both sides
[tex]2x^o=142^o[/tex] divide both sides by 2
[tex]x^2=71^o[/tex]
Answer: x = 71.
