Angle Between two Straight Lines

The study introduces the “Angle Between two Straight Lines” with the help of specific formulas in different research structures. Along with this technology, a researcher and scientist find the critical solutions while performing the tasks and projects. Moreover, this topic facilitates the specific significance of co-ordinate geometry within the workplace. Along with this, it is observed that it facilitates the effective attributes in calculating the angles between two lines in the different work as well in different subjects. Along with this, it is helpful in calculating and finding new as well as adequate specializations in a mathematical expression.

The angle between two straight lines

The “Angle Between two Straight Lines” represents the relationship between the two straight lines within a single surface. Furthermore, because of these facilities, an observer finds the inclinations of two straight lines. Along with this, it describes the measurements of inclinations of lines within the plain surface. Moreover, it is observed that while two straight lines bisect each other an angle is created that is the angle of these two straight lines. In contrast, two straight lines create two angles at a time that is an acute and obtuse angle. Moreover, a degree is a unit of measurements that are used in measuring techniques of angles. Furthermore, because of these techniques, an observer knows the real value in a specific way. Along with this, a protractor is used as a measuring instrument of angle measurement. Along with this, it facilitates the specific attributes to all researchers and observers within the workplace that can find the specific angle among all the straight lines with the help of coordinate geometry. Moreover, in this sequence, it helps find the specific angle of two straight lines as well as closed-loop such as polygon and hexagon. A congruent angle is observed while two angles of equal measurements are at a single plane. Along with this, it helps construct new technology in a mathematical expression. Along with this, it is predicted that this facility shows the relationship between the two straight lines in a single place. Moreover, these are specific tools and techniques of coordinate geometry that help in the findings of angles between two straight lines.

Procedure to find the angle between two straight lines

The “angle between two straight lines” is described with the help of specific equations as well as with the help of the slope of two straight lines. Moreover, this technique finds adequate results within the workplace that can accomplish the effective strategy in a different situation. However, in this sequence, it is observed that two angles are formed that are acute and obtuse with the help of two straight lines. Furthermore, “Trigonometric tangent function” is another way to precede the adequate technology in finding and calculating the angle in a different sequence. Along with this technology, a researcher can analyze the different types of calculation within the workplace and in different fields of research.

Straight angle is considered with the slope in finding the angle between the two lines. In this contrast, it is observed that the “acute angle θ” is determined with the help of “tangent functions.” Along with this, it is observed that acute angle between two straight lines is described with the help of the mentioned formula.

Tanθ = (m1 – m2) / 1 + m1 x m2

In the case of equations given of two straight lines, a different formula is described to find the angle between two lines. Here, an equation assumption is given below that is helpful in finding the angle between the two angles.

I1 = a1x + b1y + c1 = 0

And

I2 = a2x + b2y + c2 = 0

After that, the following formula is prescribed in computing the angles between two lines.

Tanθ = (a2b1 – a1b2) / (a1a2 + b1b2)

Formula used in calculating the angles

Different types of the formula are prescribed in finding the angles between two lines in an adequate way. 

• While one line is in the form of ax + by +c = 0 and the other line is x-axis then use θ = Tan-1 (-a / b)
• While one line is in the form of y = mx + c and the other line is the x-axis, then use θ = Tan-1m
• While the angle between two lines having equations I1 = a1x + b1y + c1 = 0 and I2 = a2x + b2y + c2 = 0 then use, Tan-1θ = (a2b1 – a1b2) / (a1a2 + b1b2)
• While the angle between two lines having equations  I1 = a1x + b1y + c1 = 0 = 0 and I2 = a2x + b2y + c2 = 0 then use, Cosθ = (a1a2 + b1b2)/(√a12 + b12* √a22 + b22)

Conclusion

The study concludes the specializations of angles in co-ordinate geometry that helps in finding the “angle between two straight lines.” Moreover, in this sequence it is observed there are different ways of finding the angle between two lines. Along with this, it is observed that two angles have been created while two straight lines converge at a single point. However, there are four types of angles available in this characterized coordinate geometry. Furthermore, this is helpful in finding the specific attribute in engineering and technology within the workplace.