Mastering Angles: Calculation Techniques & Concepts
Delve into the world of angles and learn how to calculate them with precision. Explore topics such as angles on a straight line, around a point, and within a circle. From understanding basic concepts to advanced calculations, this content provides valuable insights to enhance your geometry skills.
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Presentation Transcript
Calculating Angles This Photo by Unknown Author is licensed under CC BY-SA-NC This Photo by Unknown Author is licensed under CC BY This Photo by Unknown Author is licensed under CC BY-SA
How to calculate angles on a straight line About a point Vertically opposite angles What are We going to do today
Warm up Q4. Q3. An angle greater than 90 but less than 180? An angle less than 90 degrees? Q1. An angle is measured in what? Q5. An angle greater than 180? Q2. An angle = 90 degrees?
Angles on a straight line a b What do angles on a straight line add up to?? 180o 110o 40o a b 130o b a = 50o b = 70o b = 140o
Hint: Two straight lines make the same degrees as around a point! Angles around a point! d a c b 360o What do angles in a circle add up to?? 110o 110o a a 80o 80o 90o 300o b a = 80o b = 170o a = 60o
30 150
60 120
340 20
335 25
80 10
3020 40
130 50
85 95
10 285 65
30 10 320
To calculate angles on a straight line and around a point. To find vertically opposite angles.
Opposite angles! a = c a b d = b d c What do we think angles that are opposite each other are? Equal! 120o a b b 40o c 70o 110o b = 40o c = 120o a = 110o b = 70o
Opposite angles! Now you have a go! How many can you do in 5min? 37o 45o 120o 25o 135o 40o 120o 145o 140o 115o 35o 50o 60o 130o 65o 24o 123o 143o 57o 134o 134o 156o 72o 37o 72o 57o 108o 46o 143o 24o
