1. What is the Triangle Angle Calculator?

Definition: This calculator finds the missing angle in a triangle when two angles are known.

Purpose: It helps students, engineers, and designers quickly determine triangle angles without manual calculations.

2. How Does the Calculator Work?

The calculator uses the fundamental triangle angle formula:

Where:

• \( A, B, C \) — The three interior angles of any triangle

Explanation: Enter any two known angles and the calculator will determine the third angle by subtracting their sum from 180°.

3. Importance of Triangle Angle Calculation

Details: Understanding triangle angles is essential in geometry, trigonometry, architecture, engineering, and many design fields.

4. Using the Calculator

Tips:

• Enter any two known angles (leave one field blank)
• Angles must be between 0° and 180°
• The sum of entered angles must be less than 180°

5. Frequently Asked Questions (FAQ)

Q1: Why do triangle angles always sum to 180°?
A: This is a fundamental property of Euclidean geometry - the angles in any triangle must add up to a straight angle (180°).

Q2: Does this work for all types of triangles?
A: Yes, this applies to scalene, isosceles, equilateral, acute, right, and obtuse triangles in Euclidean space.

Q3: What if I get an error message?
A: Check that you've entered exactly two angles and their sum is less than 180°.

Q4: Can I use decimal values for angles?
A: Yes, the calculator accepts decimal values (e.g., 45.5°).

Q5: What about triangles on a sphere?
A: This calculator is for plane geometry only. Spherical triangles have angle sums greater than 180°.