What is the properties of polygons?

1.	What is the properties of polygons?
Answer» Properties of polygons : For a polygon of n sides, (i) Sum of interior angles = (2n – 4) × 90° (ii) Sum of exterior angles= 360° (always) (iii) Each interior angle = \(\frac{(2n-4)}{n}\) x 90° (regular polygon). (iv) Each exterior angle \(\frac{360°}{n}\) (in regular polygon) (v) Interior angle + exterior angle = 180° (always)

Answer»

Properties of polygons : For a polygon of n sides,

(i) Sum of interior angles = (2n – 4) × 90°

(ii) Sum of exterior angles= 360° (always)

(iii) Each interior angle = \(\frac{(2n-4)}{n}\) x 90° (regular polygon).

(iv) Each exterior angle \(\frac{360°}{n}\) (in regular polygon)

(v) Interior angle + exterior angle = 180° (always)

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