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Angles and Properties
Definition An Angle: – Is made when two lines meet at a common end point. The amount of turning needed to make an Angle is given in Degree’s Angle is 35o
Angle Types Acute Angles are between 0o to 90oObtuse Angles are between 90o to180o Reflex Angles are over 180o A Right Angle equals 90o
Angle Names The angle shown is called eitherP Q R The angle shown is called either 1) Angle OR 2) Angle OR 3) Angle Note: The middle letter is at the corner or Vertex of the angle.
Look at each of these angles.Practice Look at each of these angles. Decide if each is A acute, O obtuse or R right-angled. 1 2 A O 3 5 4 A R R 6 7 A A O 8
Use the letters to name these anglesPractice Use the letters to name these angles 1 P T C 2 D R B
1 2 3 4 5 6 7 8 9 Acute Acute Obtuse Right Obtuse Reflex Obtuse Acute
What do we use to help us? A protractorHere is a standard protractor like you use in the classroom.
When we use a protractor, we need to line it up correctly.You need to make sure the protractor is lined up correctly. Is this ready to measure the angle?
Look for the upside down ‘T’ in the middle of the straight line on your protractor.This needs to be exactly on the corner or vertex of your angle.
We need to remember..... It doesn’t matter which way round theangle is, you ALWAYS need to line the upside down ‘T’ to the vertex of the angle.
Read from the 0°, and follow the inner set of numbers.
Once you reach 30° you need to be careful!!!You then need to look at the 1° markings on the outer set of numbers.
What does it measure? This angle measures 35°.
Using a Protractor 1 50o 2 67o 0 on the inside so use inside scale0 on the outside so use outside scale
Step One Get a protractor
Step Two Put 3 dots
Step Three Move the Protractor
Step Four Get a ruler
Step Five Draw a line along the bottom
Step Six Draw a line along the side
Step Seven Draw a curved arc between the lines
Angles Properties Some angles can be worked out without measuring 1)Angles on a straight line add up to 180o a + b = 180o a b E.G a + 50o = 180o a = 130o a 50o
Angles around a point add up to 360o2) Angles around a point add up to 360o E.G a a a o = 360o a = 150o b 90 c 120 a + b + c = 360o 3) Vertically opposite Angles are equal E.G a b a 80o a = 80o ao = bo
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