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October 4, 2012

     Angles



2. Parallel lines




                              Next
Explanation               October 4, 2012

A straight line that crosses parallel lines is called the
transversal.




Angles at the same position are equal.
These are equal corresponding angles. They are in the
same position between the transversal and each parallel
line.
                                                            More
                                                            Next
Explanation             October 4, 2012

Alternate angles are on opposite sides of the transversal
and are equal.




You can think of a ‘Z’ shape to help you remember this.
                                                       More
                                                       Next
Explanation               October 4, 2012

Interior angles are angles inside the parallel lines, on the
same side of the transversal.
The sum of interior angles is always 180º.




                                                          More
                                                          Next
Example          October 4, 2012

If angle a is 120º,what is angle b?



                             a 120º

                                 120º
                                 b




                                                  More
                                                  Next
Example       October 4, 2012

If angle a is 60º,what is angle b?




                    a 60º

                            60º
                             b




                                               More
                                               Next
Example        October 4, 2012

If angle a is 72º,what is angle b?




                        a 72º
                                72º
                                b




                                                More
                                                Next
Example                 October 4, 2012

If angle a is 120º,what is angle b?




                                      a 120º
                     120º
                       b




                                                         More
                                                         Next
Examples               October 4, 2012




What is angle d?
                                   125º
                                 55º
                                 d




What is angle r?
                           41º
                    139º
                       r



                                                    More
                                                    Next
Explanation                  October 4, 2012

You may need to use your knowledge of both parallel
lines and triangles in a single question.
Angles are often labelled with single, lower case letters.
They may also be identified using upper case labels at
the ends of the lines.
You can also identify lines this way.
                           A
                       x         z
                                 32º          R   Line AR
                     57º
                           y
                           91º
                                             Angle ACB
                                       32º
                B                             C

If angle ACB is 32º and angle y is 91º, what is angle x?
                    32 + 91 + 57 = 180
                               ?
                                                             More
                                                             Next
                                                             End

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Angles parallel lines

  • 1. October 4, 2012 Angles 2. Parallel lines Next
  • 2. Explanation October 4, 2012 A straight line that crosses parallel lines is called the transversal. Angles at the same position are equal. These are equal corresponding angles. They are in the same position between the transversal and each parallel line. More Next
  • 3. Explanation October 4, 2012 Alternate angles are on opposite sides of the transversal and are equal. You can think of a ‘Z’ shape to help you remember this. More Next
  • 4. Explanation October 4, 2012 Interior angles are angles inside the parallel lines, on the same side of the transversal. The sum of interior angles is always 180º. More Next
  • 5. Example October 4, 2012 If angle a is 120º,what is angle b? a 120º 120º b More Next
  • 6. Example October 4, 2012 If angle a is 60º,what is angle b? a 60º 60º b More Next
  • 7. Example October 4, 2012 If angle a is 72º,what is angle b? a 72º 72º b More Next
  • 8. Example October 4, 2012 If angle a is 120º,what is angle b? a 120º 120º b More Next
  • 9. Examples October 4, 2012 What is angle d? 125º 55º d What is angle r? 41º 139º r More Next
  • 10. Explanation October 4, 2012 You may need to use your knowledge of both parallel lines and triangles in a single question. Angles are often labelled with single, lower case letters. They may also be identified using upper case labels at the ends of the lines. You can also identify lines this way. A x z 32º R Line AR 57º y 91º Angle ACB 32º B C If angle ACB is 32º and angle y is 91º, what is angle x? 32 + 91 + 57 = 180 ? More Next End