Add Angles
Calculator for two angles in a row. The second angle is set on the first one, the angle of the second leg to the base is calculated. If the leg intersects the base or not doesn't matter. The result can be transferred to the first angle and the calculation can continue with a new second angle.
If the angle points to the left, a minus has to be added to the value (or 180° respectively 360° minus the angle has to be calculated). Both angles are summed up and then corrected to a value between 0 and 180 or 360 degrees. Please enter two values, the third will be calculated.
Example: α is 43° to the left, so it is -43°, β is 96° to the right. The resulting angle γ is 53°.
Here, it doesn't matter whether the restriction is 180 or 360 degrees. This is different, for example, if one angle is 300 degrees and the other 250 degrees. The result is then either 10 or 190 degrees, depending on the range.
Formula:
γ = α + β
0° ≤ γ < 180° or 360°, otherwise γ ± 180° or 360°
Limiting an angle to the range of 0° to 180° is useful when only the opening of an angle is considered, not its complete direction of rotation or orientation. Put simply, this applies when dealing with straight lines, not arrows, whose position should be determined.
The order of the calculations is irrelevant, as addition is commutative, and this also applies to angles. This calculator is designed for adding or subtracting two angles, or for multiple consecutive calculations where each intermediate value is recorded individually. For longer calculations with multiple angles, where intermediate results are not important, the page Calculate with Angles is more suitable.
Such calculations are used when multiple changes of direction occur in succession and the resulting orientation needs to be determined. This is typical in geometric constructions, when specifying paths and directions, or when rotating lines or components step by step. In engineering, physics, and computer science, angle addition occurs in motion sequences, joint positions, or rotations when each individual rotation builds upon the previous one.
Here you can convert radian into degrees.