Determine the measure of x? Please include the way you got the answer as well please

Answer:
x = 16°
Step-by-step explanation:
The three internal angles of the triangle are:
180° - 91° = 89° (angles in a straight line)
180° - 105° = 75° (angles on a straight line)
x = x (vertical angles are congruent)
x + 89 + 75 = 180 (sum of interior angles of a ∆)
x + 164 = 180
x = 180 - 164 (subtraction property of equality)
x = 16°