Angle between a Pair of Lines

Given two integers M1 and M2 representing the slope of two lines intersecting at a point, the task is to find the angle between these two lines.

Examples:

Input: M₁ = 1.75, M₂ = 0.27
Output: 45.1455 degrees

Input: M₁ = 0.5, M₂ = 1.75
Output: 33.6901 degrees

Approach: If ? is the angle between the two intersecting lines, then the angle ? can be calculated by:

tan? = |(M₂ - M₁) / (1 + M₁ * M₂)|
=> ? = tan^-1( |(M₂ - M₁) / (1 + M₁ * M₂)| )

Follow the steps below to solve the problem:

• Initialize a variable, say A, to store the value of the angle between the two lines.
• Using the above formula, find the value of tan(A) and update the value of angle A by taking the tan inverse of the angle.
• Convert the angle from radian to degrees.
• Print the value of A in degrees as the result.

Below is the implementation of the above approach:

45.1455

Time Complexity: O(1)
Auxiliary Space: O(1)