1 exterior angles of a triangle stage 5 - year 9 press ctrl-a ©2009 – not to be sold/free to use

5
1 Exterior Angles Exterior Angles of a Triangle of a Triangle Stage 5 - Year 9 Stage 5 - Year 9 Press Ctrl-A Press Ctrl-A ©2009 – Not to be sold/Free to use

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Page 1: 1 Exterior Angles of a Triangle Stage 5 - Year 9 Press Ctrl-A ©2009 – Not to be sold/Free to use

11

Exterior AnglesExterior Anglesof a Triangleof a Triangle

Stage 5 - Year 9Stage 5 - Year 9

Press Ctrl-APress Ctrl-A©2009 – Not to be sold/Free to use

Page 2: 1 Exterior Angles of a Triangle Stage 5 - Year 9 Press Ctrl-A ©2009 – Not to be sold/Free to use

22

Proof

The Exterior AngleExterior Angle is the Sum of the Interior OppositeInterior Opposite Angles

Inte

rior

Opp

osite

Inte

rior

Opp

osite

Exterior Exterior AngleAngle

Exterior Angle of a Triangle.

Page 3: 1 Exterior Angles of a Triangle Stage 5 - Year 9 Press Ctrl-A ©2009 – Not to be sold/Free to use

33

The Exterior AngleExterior Angle is the Sum of the Interior OppositeInterior Opposite Angles

Inte

rior

Opp

osite

Inte

rior

Opp

osite

AA ++ BB == CC

AA

BB

CCExterior Exterior AngleAngle

Exterior Angle of a Triangle.

Page 4: 1 Exterior Angles of a Triangle Stage 5 - Year 9 Press Ctrl-A ©2009 – Not to be sold/Free to use

44

Inte

rior

Opp

osite

Inte

rior

Opp

osite

Example 1Example 1

4545oo

7070oo

CC

7070oo + 45 + 45oo = C = C115115oo = C = C

C = 115C = 115oo

Exterior Exterior AngleAngle

Exterior Angle of a Triangle.

Page 5: 1 Exterior Angles of a Triangle Stage 5 - Year 9 Press Ctrl-A ©2009 – Not to be sold/Free to use

55

Exterior Exterior AngleAngleIn

terior

Opp

osite

Inte

rior

Opp

osite

Example 2Example 2

AAoo

7070oo

120120oo

A + 70A + 70oo = 120 = 120oo-70 -70-70 -70

A = 50A = 50oo

Exterior Angle of a Triangle.