12/5 is the answer because if you use the help of "SohCahToa" you find that 12 is the opposite side of angle A and 5 is the adjacent angle
The horizontal beams are what I like to think of as "rail road tracks". The metal portion of the tracks anyway. Notice how angle 2 and angle 8 are inside the tracks, so we consider them "interior angles"
Furthermore, they are on opposite or alternate sides of the transversal line. The transversal line is the non-parallel line that cuts through the "rail road tracks".
Put those two facts together and we get "alternate interior angles" as our final answer
Answer:
idk what you mean by thorough explanation but:
- get two points of the line (x1, y1) and (x2, y2)
- plug them into the formula: y2 - y1/x2 - x1
- solve