How to find angle of intersection between two line whose equation is given?
Answers
Answer:
ind the slope of each line.
Find the angle of inclination of each line, using θ=tan−1m. (Here, θ is the angle of inclination, m is the slope.)
Subtract the two angles.
Handle the case where this difference is not an acute angle. (If you get a negative angle, take its absolute value. Also, when two lines intersect, they form two pairs of equal angles. Unless the lines are perpendicular, one pair will be acute and the other obtuse. You want to find the acute pair, so if you calculated the obtuse pair just subtract the value from pi radians or 180° to get the acute values.)
There are other ways, such as finding vectors on the lines and using their dot products. But the way I showed uses simple, basic trig methods.
Step-by-step explanation: