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3rd Angle Calculator

Triangle Angle Formula:

\[ \text{Third Angle} = 180° - \text{Angle1} - \text{Angle2} \]

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1. What is the Third Angle Calculator?

The Third Angle Calculator determines the missing angle in 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 simple formula:

\[ \text{Third Angle} = 180° - \text{Angle1} - \text{Angle2} \]

Where:

Explanation: The sum of all three angles in a triangle always equals 180 degrees, so subtracting the two known angles from 180 gives the third angle.

3. Importance of Angle Calculation

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

4. Using the Calculator

Tips: Enter two known angles between 0° and 179° (their sum must be less than 180°). The calculator will compute the third angle.

5. Frequently Asked Questions (FAQ)

Q1: Can I use this for any type of triangle?
A: Yes, this works for all triangles (acute, right, obtuse, scalene, isosceles, equilateral) as they all have angles totaling 180°.

Q2: What if I get a negative result?
A: This means your input angles sum to more than 180°, which is impossible for a triangle. Check your measurements.

Q3: How precise should my angle measurements be?
A: The calculator accepts decimal values for precision. More precise inputs yield more precise results.

Q4: Can I calculate other angles if I know one angle?
A: No, you need at least two angles to determine the third in a general triangle.

Q5: Does this work for spherical triangles?
A: No, this calculator is for plane (Euclidean) geometry only. Spherical triangles have angle sums greater than 180°.

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