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Angles and their Measurements Delaine Sanders www.flicr.com/photos/34669486/N00/40234362
Angle Parts http://www.flickr.com/photos/dcab2/3514913853/
Angle Parts http://www.flickr.com/photos/dcab2/3514913853/ 2 Rays and a Vertex
Angle Parts . B B A B C RAY  BC   -> RAY  BA   -> POINT B BC BA
Angle Parts   C A B 2
Angle Naming    B    A B C    C B A    2 A B C 2
Angle Naming A B C D 1 2
Angle Naming    A D B or   B D A    B D C or   C D B    A D C or   C D A    1    2 A B C D 1 2
Angle Naming Practice (STOP) A B C D E F G
Measuring Angles Degrees The angle is the amount of rotation from one ray to the other ray.
Measuring Angles
protractor Measuring Angles
protractor Measuring Angles 50 50 – 0 = 50 m    = 50
protractor Measuring Angles 130 130 – 0 = 130 m    = 130
Measuring Angles 50 50 – 0 = 50 180 – 130 = 50
Measuring Angles  (STOP) Measuring Angles Practice  – image on note sheet  Note sheet, clear protractors and 6 inch rulers Paper Practice Measure side angle Measure corner angle Fold in half, measure corner angle
0 °  - 90 °                                                                  Acute Angles
Acute Angles http://www.flickr.com/photos/24418961@N05/3524410992/
Acute Angles
90 °  - 180 °                                                                    Obtuse Angles
Obtuse Angles http://www.flickr.com/photos/enlightenedfellow/1578956556/
Obtuse Angles
= 90 °                                          Right Angles
Right Angle http://www.flickr.com/photos/jefemontana/2317256019/
Right Angle http://www.flickr.com/photos/jefemontana/2317256019/
Straight Angle = 180   ° .
Straight Angle http://www.flickr.com/photos/forevermoosed/469130102/ http://www.flickr.com/photos/bolivar-trindade/3203862834/
Straight Angle
Interior / Exterior Point . A E C D F .
Interior / Exterior Point . A E C D Point A  is interior to   D E C Point F  is exterior to   D E C Ray EA is interior to   D E C  F .
Angle Addition Postulate The sum of the two smaller angles will always equal the measure of the larger angle .
Angle Addition Postulate The sum of the two smaller angles will always equal the measure of the larger angle . m    MRK + m    KRW = m    MRW
Angle Addition Postulate 2 1    1 +    2 =    A B C A B C
Angle Addition Postulate 2 1  1 = 30 – 0 = 30 2 = 70 – 30 = 40 ABC = 30 + 40 = 70   A B C
Angle Addition Postulate http://www.flickr.com/photos/svyates/2415340942/ 1 2 Angle 1 = 2x Angle 2 = x Solve for angle 1
Angle Bisector An  angle bisector  is a ray that divides an angle into two equal angles.  A B C E ABC        CBE m   ABC = m   CBE
Bisected Angle http://www.flickr.com/photos/40256716@N00/367560012/
Bisected Angle http://www.flickr.com/photos/40256716@N00/367560012/
Bisected Angle Ray UK bisects angle U.  What is the measure of angle U?

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Angle Measurements