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IGCSEMATHSGEOMETRY




Angle Properties and Circle Theorems
Line, Ray, Line Segment (Review):

Line: It does not have a definite length or an end point and can be extended in both directions. It is
represented by the symbol. Line AB is written as AB . It cannot be measured.

Ray : It…

Page 2

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IGCSEMATHSGEOMETRY




Since the angles of a triangle add up to 180°, the sum of the interior angles of a polygon will be 180(n-2)
degrees.

Example: The trapezium has 4 sides.

180(4-2)= 180(2)=360°


The Sum of exterior angles of a polygon:


a b Angles a, b, c, d, e are the…

Page 3

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IGCSEMATHSGEOMETRY




Angle between Tangent and Radius:




The angle between tangent of a point and the radius to the same point
on the circle forms a right angle (which is 90°)

Angle properties of Irregular polygons:

To find the angle of an irregular polygon, you have to keep in mind that…

Page 4

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IGCSEMATHSGEOMETRY




If the angle at the center is 2x, then each of the angles at the circumference must be equal to x°

Angles in opposite segments:

A




B




4 | PageIGCSE2012 ©

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