Question

What is the value of x

Answer 1

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:

$38^o+x^o+x^o=180^o$

$38^o+2x^o=180^o$        subtract 38 from both sides

$2x^o=142^o$       divide both sides by 2

$x^2=71^o$

Answer: x = 71.