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October 4, 2012

   Angles



1. Angle facts




                           Next
Explanation            October 4, 2012

The sum of the angles on a straight line is always 180º.



                                b
                               140º
                        a
                       40º




You can describe this rule using letters.

                   40 + 140 = 180
                    a    b

                                                       More
                                                       Next
Explanation           October 4, 2012

The sum of the angles round a point is always 360º.



                                  a
                                 140º
                        d
                       40º
                                    b
                                   40º
                            c
                          140º


You can describe this rule using letters.

          140 + 40 + 140 c + d = 360
                 a b + + 40

                                                      More
                                                      Next
Explanation           October 4, 2012

When two lines cross, the opposite angles are equal.



                                  a
                                 140º
                        c
                       40º
                                   d
                                   40º
                           b
                          140º


You can describe this rule using letters.

                    a=b          c=d

                                                       More
                                                       Next
Explanation            October 4, 2012

The sum of the angles inside a triangle is always 180º.



                                      b


                                      c
                 a

You can describe this rule using letters.

                  a + b + c = 180
                                                       More
                                                       Next
Revise              October 4, 2012

These are the four types of triangle.




                               Right-angle

   Isosceles
                                                 Scalene
                 Equilateral
Equal sides can be shown using a small ‘dash’.
                                                       More
                                                       Next
Explanation           October 4, 2012

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




                                        b
                                      63º
                69º
                a
                      124º
                      d           104º
                                    c



          69 + 63 + 104 + 124 = 360
          a     b    c     d
                                                       More
                                                       Next
Explanation               October 4, 2012

The angles in this quadrilateral still add up to 360º, even
though it is a re-entrant shape.




You can see this if you think of it as two triangles.

                  180 + 180 = 360
                                                          More
                                                          Next
Practise   October 4, 2012

Find the missing angles.




    144º                                      65º
                                      85º
                                      c
                             88º
           144º
           a                                132º
                       46º
                       b
                                            78º




                                                    More
                                                    Next
                                                    End

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Angle Facts and Rules

  • 1. October 4, 2012 Angles 1. Angle facts Next
  • 2. Explanation October 4, 2012 The sum of the angles on a straight line is always 180º. b 140º a 40º You can describe this rule using letters. 40 + 140 = 180 a b More Next
  • 3. Explanation October 4, 2012 The sum of the angles round a point is always 360º. a 140º d 40º b 40º c 140º You can describe this rule using letters. 140 + 40 + 140 c + d = 360 a b + + 40 More Next
  • 4. Explanation October 4, 2012 When two lines cross, the opposite angles are equal. a 140º c 40º d 40º b 140º You can describe this rule using letters. a=b c=d More Next
  • 5. Explanation October 4, 2012 The sum of the angles inside a triangle is always 180º. b c a You can describe this rule using letters. a + b + c = 180 More Next
  • 6. Revise October 4, 2012 These are the four types of triangle. Right-angle Isosceles Scalene Equilateral Equal sides can be shown using a small ‘dash’. More Next
  • 7. Explanation October 4, 2012 The sum of the angles in a quadrilateral is always 360º. b 63º 69º a 124º d 104º c 69 + 63 + 104 + 124 = 360 a b c d More Next
  • 8. Explanation October 4, 2012 The angles in this quadrilateral still add up to 360º, even though it is a re-entrant shape. You can see this if you think of it as two triangles. 180 + 180 = 360 More Next
  • 9. Practise October 4, 2012 Find the missing angles. 144º 65º 85º c 88º 144º a 132º 46º b 78º More Next End