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

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

Transcript of 1 Angles Sum of a Quadrilateral Stage 5 - Year 9 Press Ctrl-A ©2009 – Not to be sold/Free to use.

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

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Angles Sum ofAngles Sum ofa Quadrilaterala Quadrilateral

Stage 5 - Year 9Stage 5 - Year 9

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

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Proof

The sum of the angles in a quadrilateral is 360o.

Angle Sum of a Quadrilateral

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A

B

C

AA ++ BB ++ C + DC + DDD==

360360oo

The sum of the angles in a quadrilateral is 360o.

D

Angle Sum of a Quadrilateral

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A+110A+110oo+80+80oo+120+120oo = 360 = 360oo

A + 310A + 310oo = 360 = 360oo

-310 -310-310 -310

A = 50A = 50oo

120o

80o

110o

A

Example 1Example 1

Angle Sum of a Quadrilateral

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Example 2Example 2

110o

70o

100o

2A

2A+1102A+110oo+70+70oo+100+100oo = = 360360oo

2A + 2802A + 280oo = 360 = 360oo

-280 -280-280 -280

2A = 802A = 80oo

A = 40A = 40o o

÷2 ÷2÷2 ÷2

Angle Sum of a Quadrilateral


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