1. What is the Triangle Angle Formula?

The triangle angle formula calculates the third angle of a triangle when two angles are known. It's based on the fundamental property that the sum of interior angles in any triangle equals 180 degrees.

2. How Does the Calculator Work?

The calculator uses the triangle angle formula:

Where:

• \( A \) — The unknown angle (degrees)
• \( B \) — First known angle (degrees)
• \( C \) — Second known angle (degrees)

Explanation: The formula simply subtracts the two known angles from 180° to find the third angle.

3. Importance of Angle Calculation

Details: Calculating unknown angles is essential in geometry, trigonometry, engineering, and various practical applications like construction and navigation.

4. Using the Calculator

Tips: Enter two known angles in degrees (must be positive numbers and their sum must be less than 180°). The calculator will compute the third angle.

5. Frequently Asked Questions (FAQ)

Q1: Can this be used for any type of triangle?
A: Yes, this formula works for all triangles (acute, right, and obtuse) in Euclidean geometry.

Q2: What if I only know one angle?
A: You need at least two angles to use this formula. For one angle, you would need additional information about side lengths.

Q3: Why does the sum have to be less than 180°?
A: Because the sum of all three angles in a triangle is exactly 180°. If two angles sum to 180° or more, they cannot form a valid triangle.

Q4: Can I use this for spherical geometry?
A: No, this formula is for planar (Euclidean) geometry only. Spherical triangles have angle sums greater than 180°.

Q5: How precise should my angle measurements be?
A: For most practical purposes, one decimal place is sufficient. The calculator accepts inputs with up to one decimal place.