Angles and Polygons

 

Sum of the interior angles of a polygon

sierra.mnsu.edu

 

The sum of the interior angles of a polygon is

180 ( n — 2 ) °

where   n  is the number of sides the polygon has.

 

Sum of the exterior angles of a polygon

bbc.co.uk

 

The sum of the exterior angles of a polygon is 360°.

For a regular polygon that has  n  sides,  each exterior angle is

360°/ n

 

Angles in opposite segments of a cyclic quadrilateral

seattleclouds.com

 

The opposite angles of a cyclic quadrilateral are supplementary, i.e.  180°.

a + b = 180°

c + d = 180°

 

Exterior angle in a cyclic quadrilateral

math.tutorvista.com

 

The exterior angle of a cyclic quadrilateral is equal to the interior opposite angle.

<B = <D

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