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Mastering Angles: Essential Rules for Solving Any Angle Problem

Learn the 5 angle rules for solving angle problems easily. Understand properties of triangles and special shapes to find angles accurately. Discover how to split shapes into triangles and calculate total angles with simple formulas.

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Mastering Angles: Essential Rules for Solving Any Angle Problem

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  1. The 5 Angle Rules All you need for almost any angle problem 2 ? ? 1 ? 4 ? ? 3

  2. 1 2 3

  3. Parallel lines 4

  4. 5 • Any Triangle All angles add up to 180o Special triangles: • Isosceles Triangle: 2 equal angles • Equilateral Triangle: 3 equal angles (all 60o) Only need 1 angle to find all the rest All angles equal, so all angles 60o

  5. The 5 Angle Rules All you need for almost any angle problem 2 ? 1 ? ? 4 ? ? 3

  6. What is the smallest number of triangles you can split this shape up into? Total angles in 3 triangles = 3 x 180 = 540o So total angles in a pentagon = 540o

  7. Hexagon = 6 sides 4 triangles = 4 x 180 = 720o

  8. Heptagon = 7 sides 5 triangles = 5 x 180 = 900o

  9. Dodecagon = 12 sides 10 triangles = 10 x 180 = 1800o

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