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Triangle Interior and Exterior Angles — result sheet
Complete a triangle from two interior angles and calculate the adjacent exterior angles and their total.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Interior angle C = 180°−A−B; adjacent exterior angle at each vertex = 180°−interior angle; the three one-turn exterior angles sum to 360°.
Two valid interior angles determine the third angle in a Euclidean triangle. This page reports the supplementary exterior angle at each vertex and checks the full one-turn sum, helping visitors distinguish an interior-angle sum of 180 degrees from an exterior-angle sum of 360 degrees.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Interior angle A — degrees; minimum 1.0E-6; maximum 179.999999
- Interior angle B — degrees; minimum 1.0E-6; maximum 179.999999
Worked example
| Input | Value |
|---|---|
| Interior angle A | 50 |
| Interior angle B | 60 |
Interior C =70°; exterior angles =130°, 120°, and 110°; exterior sum =360°.
Assumptions and limits
- The inputs are interior angles in degrees.
- Both input angles are positive and their sum is less than 180 degrees.
- Exterior angles are the adjacent supplementary angles, one at each vertex.
- The three exterior angles use the same turning orientation and sum to 360 degrees.
- The page does not infer side lengths, scale, orientation, or a bearing system.
- Rounding is display-only and the sum check uses the unrounded values.
- A non-Euclidean triangle or a self-intersecting path needs a different angle model.
- Use a diagram to confirm which exterior angle is intended when several extensions are drawn.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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