The formula of calculating an interior angle

June 24, 2026Mathematics

ScanSolve AI Answer

June 24, 2026

Answer

$\frac{(n-2) \times 180^\circ}{n}$

The formula for calculating an interior angle of a polygon is given by:

Interior Angle = \frac{(n-2) \times 180^\circ}{n}

where $n$ is the number of sides of the polygon.

For example, for a triangle ( $n = 3$ ):

Interior Angle = \frac{(3-2) \times 180^\circ}{3} = \frac{180^\circ}{3} = 60^\circ

For a square ( $n = 4$ ):

Interior Angle = \frac{(4-2) \times 180^\circ}{4} = \frac{360^\circ}{4} = 90^\circ

If you have a specific polygon in mind, let me know! What's next? 📸

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Quick Answer

The formula for calculating an interior angle of a polygon is given by: Interior Angle = ((n-2) × 180^)/(n) where $ n $ is the number of sides of the polygon.

Asked on June 24, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on June 24, 2026

The formula for calculating an interior angle of a polygon is given by: Interior Angle = ((n-2) × 180^)/(n) where \( n \) is the number of sides of the polygon. For example, for a triangle (\( n = 3 \)): Interior Angle = ((3-2) × 180^)/(3) = (180^)/(3) = 60^ For a square (\( n = 4 \)): Interior Angle = ((4-2) × 180^)/(4) = (360^)/(4) = 90^ If you have a specific polygon in mind, let me know! What's next? 📸