Answer:
11°
Step-by-step explanation:
If you extend the line XW at a point, say V, it forms a corresponding angle, which which be easier to find ∠X.
First we have to find what is the actual value of the corresponding angle.
180 - 102 = 78 (Angles on a straight line add up to 180°)
So now the 78° is the angle of the corresponding angle. This angle is equal to ∠X. Thus the value of x can be found.
6x + 12 = 78°
Bring 12 to the other side in order to find 'x'. This will make it to -12.
6x = 78 - 12
6x = 66
Now take 6 and put to the other side of the equation. Since 6 was multiplied with x, shifting it to the other side of the equation will make it 'divided upon 6'
x = [tex]\frac{66}{6}[/tex] = 11°
