Final answer:
The value of x is 11°.
Step-by-step explanation:
To find the value of x when angle 1 is 74° and angle 2 is 6x + 8°, we can equate the two angles:
74° = 6x + 8°
Subtract 8° from both sides:
66° = 6x
Divide both sides by 6:
x = 11°
Therefore, the value of x is 11°.