Answer: Angle x measures 33 degrees
Step-by-step explanation: The first clue has been given as line BC is parallel to line DE.
If both lines are parallel, that makes angle CBA equal to angle DAB which is 42 {alternate angles are equal}.
Then looking along line DAE, angle DAB plus angle BAE equals 180 degrees. That is,
DAB + BAE = 180 {Sum of angles on a straight line}.
42 + BAE = 180
Subtract 42 from both sides of the equation
BAE = 138
Also, angle BAC plus angle CAE = BAE
Angle BAC = 105, angle CAE = x and angle BAE = 138
105 + x = 138
Subtract 105 from both sides of the equation
x = 33
