1. Triangle Angle Sum Theorem

The Triangle Angle Sum Theorem states that the sum of the interior angles of any triangle equals 180 degrees. This fundamental geometric principle applies to all triangles, regardless of their type (acute, obtuse, right, scalene, isosceles, or equilateral).

2. How the Calculator Works

The calculator uses the Triangle Angle Sum formula:

Where:

• \( A \) — First angle of the triangle
• \( B \) — Second angle of the triangle
• \( C \) — Third angle of the triangle

Explanation: When you know any two angles of a triangle, you can always find the third angle by subtracting the sum of the two known angles from 180°.

3. Importance of Angle Calculation

Details: Calculating unknown angles is essential in geometry, trigonometry, architecture, engineering, and various fields that involve spatial relationships and design.

4. Using the Calculator

Tips: Enter any two known angles (in degrees) and leave the third field empty. The calculator will compute the missing angle. All angles must be between 0° and 180°, and the sum must equal exactly 180°.

5. Frequently Asked Questions (FAQ)

Q1: Does this work for all types of triangles?
A: Yes, the angle sum property applies to all triangles - equilateral, isosceles, scalene, acute, obtuse, and right triangles.

Q2: What if my angles don't sum to 180°?
A: The calculator will show an error. This means either the measurements are incorrect or the shape isn't a perfect triangle.

Q3: Can I use decimal values for angles?
A: Yes, the calculator accepts decimal values with up to one decimal place precision.

Q4: What about exterior angles?
A: This calculator deals only with interior angles. The sum of exterior angles of a triangle is always 360°.

Q5: Can this calculator solve right triangles?
A: Yes, if one angle is 90°, just enter that value along with one other angle to find the third angle.