Please help guys .

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

the transverse axis of a hyperbola is the line that contains the two vertices and the two focuses.

in this example (hyperbola of equation x^2/2 - y^2/4 = 1), the transverse axis is the  x-axis  . 

step-by-step explanation:

look at photo