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Angles

Angles. Angles. An angle is a corner where two lines meet. Angles are drawn with a small part of a circle in the corner. Angles can be measured in degrees with a protractor. There are 5 names given to angles depending on how big they are. Acute Angles. Acute angles are the sharpest angles.

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Angles

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  1. Angles

  2. Angles • An angle is a corner where two lines meet. • Angles are drawn with a small part of a circle in the corner. • Angles can be measured in degrees with a protractor. • There are 5 names given to angles depending on how big they are.

  3. Acute Angles • Acute angles are the sharpest angles. • They are between _____ and _____. 0 90

  4. Right Angles • Right angles are like the corners of a square. • They are exactly _____ degrees. • They are marked with a square instead of a circle. 90

  5. Obtuse Angles • Obtuse angles are between ______ degrees and ______ degrees. 90 180

  6. Straight Angles • Straight angles are exactly ______ degrees 180

  7. Reflex Angles 180 • Reflex angles are between ______ and ______ degrees. 360

  8. Angle Rules We can use rules about shapes to calculate unknown angles.

  9. Rule 1 Angles on a straight line add up to 180 degrees. 120 60 105 75

  10. Rule 2 Angles around a point add up to 360 degrees. 70 160 70 290 130

  11. Rule 3 Angles inside a triangle add up to 180 degrees. 50 75 100 65 40 30

  12. Rule 4 Angles inside a quadrilateral (4 sides) add up to 360 degrees. 80 90 110 50 130 160 40 60

  13. Rule 5 Vertically opposite angles are equal. When two straight lines cross over the opposite angles are equal. 120 60 60 120

  14. Rules 6, 7 and 8 Rules 6, 7 and 8 are about the angles made when a line cuts through two parallel lines. This line makes 8 angles.

  15. Rules 6, 7 and 8 are three rules called; Alternating Angles, Corresponding Angles, and Co-Interior Angles Basically they all work on the same 2 ideas. 1. When you have angles on parallel lines that look the same, they are the same. 2. If the angles look different, they add up to180 degrees.

  16. Rule 6 Alternating anglesare equal. Alternating means they swap the side of the line. Left to right or right to left.

  17. Rule 7 Corresponding anglesare equal. Corresponding means they are exact copies just on the next line.

  18. Rule 8 Co-interior anglesadd up to 180. Co-interior means both angles are inside the parallel lines next to each other

  19. Rule 9: Exterior Angles The outside (exterior) angles of any shape always add up to 360 degrees. So in regular shapes each angle is 360 ÷ sides.

  20. 145o 120o 95o

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