Answer:
x = 19
Explanation:
We can see that the angles (2x + 4) and (8x - 14) are supplementary — they add to 180. From this observation, we can form the equation that can be solved for x:
(2x + 4) + (8x - 14) = 180
↓ combining like terms
10x - 10 = 180
↓ adding 10 to both sides
10x = 190
↓ dividing both sides by 10
x = 19