Answer:
x = 22
Step-by-step explanation:
Both angles shown correspond to the same point in the two triangles, so they are the same.
Put these expression into an equation like this: 3x - 9 = x + 35
3x - 9 = x + 35
Subtract x from both sides.
3x - 9 - x = 35
Subtract x from 3x to get 2x.
2x - 9 = 35
Add 9 to both sides
2x - 9 + 9 = 35 + 9
Add 35 and 9 to get 44. -9 and 9 cancel each other out
2x = 44
Divide both sides by 2.
2x/2 = 44/2
x = 44/2
Divide 44 by 2 to get 22.
x = 22
Check your work if it works
3(22) - 9 = 22 + 35
66 - 9 = 57
57 = 57
Both sides equal each other, so x is 22.
