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Angles of a Square

A square has 4 interior angles, each measuring exactly 90°. All four angles together add up to 360°.

Interior Angles

Each of the 4 interior angles of a square measures 90°. The image shows both the interior and exterior angles:

Interior and exterior angles of a square
4number of interior angles 90°measure of each interior angle 360°sum of all interior angles

Exterior Angles

A square has 4 exterior angles, each measuring 90°. In a square, the interior and exterior angles are exactly the same size.

90°each exterior angle 180°interior + exterior angle at the same vertex

Example: 90° (interior) + 90° (exterior) = 180°.

Formula for the Sum of Interior Angles

The general formula for the sum of interior angles of any polygon is (n − 2) × 180, where n is the number of sides. For a square: (4 − 2) × 180 = 360°.

More About the Square

Click on any element to learn more.

Fórmula del Área del Cuadrado

Square Area
Formula
Fórmula del Perímetro del Cuadrado

Square Perimeter
Formula
Ángulos del Cuadrado

Interior and
Exterior Angles
Construcción del Cuadrado con Compás y Regla

Compass-and-Ruler
Construction
Diagonales del Cuadrado

Diagonals
and Formulas
Propiedades del Cuadrado

Properties
Calculadora del Área del Cuadrado

Square Area
Calculator
Calculadora del Perímetro del Cuadrado

Square Perimeter
Calculator
El Cuadrado en la Arquitectura

Squares in
Architecture

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