# Angle Properties and Circle Theorem

Notes on Angle Properties and Circle Theorem

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• Created by: E.H Jane
• Created on: 25-09-12 17:47

## Pages in this set

### Page 1

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

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

IGCSEMATHSGEOMETRY

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

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

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