Answer:
x = 40
Explanation:
the right vertex angle and 96° are a linear pair and sum to 180°
angle + 96° = 180° ( subtract 96° from both sides )
angle = 84°
the sum of the 3 angles in a triangle = 180° , so
third angle + 56° + 84° = 180°
third angle + 140° = 180 ( subtract 140° from both sides )
third angle = 40°
x and 40° are vertically opposite angles and are congruent, that is
x = 40