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Angles
         www.mstfdemirdag.com
Angle:
• An angle is a figure formed by two lines with a common point.



• The common point is called the vertex, and the lines are called
  sides.
The angle in figure can be denoted as
• The unit of measurement of an angle is the degree. Degree is

  shown by   ˚.
• Degree is 1/360 of a full revolution.

• We can use a protractor to measure angles in degrees.
Angles g7
Angles g7
How to measure an angle using
protractor?
• Place the centre of the protractor on the vertex of
  the angle

• Match the 0 horizontal centre line with one of the
  arms of the angle

• Read the size of the angle, indicated by the other
  arm.
60°
130°
How to construct an angle using
protractor?
• Draw a straight line.
• Put a dot at one end of the line. (The line
  represents one of the arms and the dot
  represents the vertex of the angle.) Place
  the protractor so that its centre is on the
  vertex and 0 is on the baseline.
• Find the required angle on the scale and
  mark a small dot at the edge of the
  protractor.
• Join the small dot with the vertex to form the
  second arm of the angle.
• Label the angle.
130°
70°
90°
160°
Classification of angles
• Acute angles: Angles whose measures are greater than 0˚ but
  less than 90˚.
• Right angles: Angles whose measures are 90˚.
• Obtuse angles: Angles whose measures are greater than 90˚
  but less than 180˚.
• Straight angles: Angles whose measures are 180˚.
Example:
Complementary and
Supplementary Angles
 • Two angles are complementary angles when the sum of their
   measures is 90˚.

 • Two angles are supplementary angles when the sum of their
   measures is 180˚.
Angles g7
Angles g7
Angles g7
Find x.
Draw a diagram, write an appropriate equation, and
solve it for x.

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Angles g7

  • 1. Angles www.mstfdemirdag.com
  • 2. Angle: • An angle is a figure formed by two lines with a common point. • The common point is called the vertex, and the lines are called sides.
  • 3. The angle in figure can be denoted as
  • 4. • The unit of measurement of an angle is the degree. Degree is shown by ˚. • Degree is 1/360 of a full revolution. • We can use a protractor to measure angles in degrees.
  • 7. How to measure an angle using protractor? • Place the centre of the protractor on the vertex of the angle • Match the 0 horizontal centre line with one of the arms of the angle • Read the size of the angle, indicated by the other arm.
  • 10. How to construct an angle using protractor? • Draw a straight line. • Put a dot at one end of the line. (The line represents one of the arms and the dot represents the vertex of the angle.) Place the protractor so that its centre is on the vertex and 0 is on the baseline. • Find the required angle on the scale and mark a small dot at the edge of the protractor. • Join the small dot with the vertex to form the second arm of the angle. • Label the angle.
  • 11. 130°
  • 12. 70°
  • 13. 90°
  • 14. 160°
  • 15. Classification of angles • Acute angles: Angles whose measures are greater than 0˚ but less than 90˚. • Right angles: Angles whose measures are 90˚. • Obtuse angles: Angles whose measures are greater than 90˚ but less than 180˚. • Straight angles: Angles whose measures are 180˚.
  • 17. Complementary and Supplementary Angles • Two angles are complementary angles when the sum of their measures is 90˚. • Two angles are supplementary angles when the sum of their measures is 180˚.
  • 22. Draw a diagram, write an appropriate equation, and solve it for x.

Editor's Notes

  1. ----- Meeting Notes (3/28/11 10:06) -----