Answer:
x = 35
Explanation:
consider the triangle on the left
the left vertex and 36° are vertically opposite angles and are congruent.
the right vertex = 180° - (36 + 38)° = 180° - 74° = 106°
consider the triangle on the right
right vertex and 109° are a linear pair and sum to 180°
right vertex = 180° - 109° = 71°
the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
106° is an exterior angle of the triangle on the right , that is
x + 71 = 106 ( subtract 71 from both sides )
x = 35