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Interior and Exterior Triangle Angles — result sheet
Enter two interior angles of a triangle to find the missing interior angle, the three adjacent exterior angles, and both angle-sum checks.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: For a Euclidean triangle A+B+C=180° (or π radians); the adjacent exterior angle at a vertex is the supplement of its interior angle and equals the sum of the two remote interior angles.
The tool uses two known interior angles as the complete input contract. It derives the third from the triangle-sum theorem, then computes the exterior angle adjacent to each vertex. Keeping the selected unit through every output makes the relationships easy to check without mixing degrees and radians.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Interior angle A — minimum 1.0E-6; maximum 179.999999
- Interior angle B — minimum 1.0E-6; maximum 179.999999
- Angle unit — 2 choices
Worked example
| Input | Value |
|---|---|
| Interior angle A | 45 |
| Interior angle B | 65 |
| Angle unit | degrees |
C = 70°, adjacent exterior angles are 135°, 115°, and 110°; the interior sum is 180° and the exterior sum is 360°.
Assumptions and limits
- The triangle is a flat Euclidean triangle, so its interior angles sum to 180 degrees or π radians.
- The two inputs are strictly positive and their sum is less than the triangle total.
- Exterior angles shown are the adjacent supplementary angles, one at each vertex; the equal opposite-direction exterior angles are not listed separately.
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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