Hi!
These two angles are alternate interior angles, so they are congruent. Thus:
∠A = ∠B
6x + 5 = 4x + 45
Solve for x:
2x + 5 = 45
2x = 40
x = 20
Solve for ∠A by substituting in this value:
∠A = 6(20) + 5 = 125°
Answer:
x = 9
Step-by-step explanation:
The line splits the sides of the triangle in proportion (the ratios of the pieces is the same for both sides).
Setup:

"Cross multiply."

Answer:
x = 40
Step-by-step explanation:
1/2x - 18 = 2
1/2x = 2 + 18
1/2x = 20
x = 20 / 1/2
x = 20 * 2/1
x = 40
That depends on whether you want to round to the nearest ten, the nearest
hundred, or the nearest thousand. Each of those answers is different.