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Maths Gcse Edexcel Foundation

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  1. Scatter-Graphs-And-Correlation Edexcel Foundation
    2 主题
  2. Statistical-Diagrams Edexcel Foundation
    8 主题
  3. Statistics-Toolkit Edexcel Foundation
    7 主题
  4. Tree-Diagrams-And-Combined-Probability Edexcel Foundation
    2 主题
  5. Simple-Probability-Diagrams Edexcel Foundation
    4 主题
  6. Probability-Toolkit Edexcel Foundation
    3 主题
  7. Transformations Edexcel Foundation
    4 主题
  8. Vectors Edexcel Foundation
    3 主题
  9. Volume-And-Surface-Area Edexcel Foundation
    3 主题
  10. Circles-Arcs-And-Sectors Edexcel Foundation
    3 主题
  11. Area-And-Perimeter Edexcel Foundation
    4 主题
  12. Pythagoras-And-Trigonometry Edexcel Foundation
    5 主题
  13. Congruence-Similarity-And-Geometrical-Proof Edexcel Foundation
    5 主题
  14. Bearings-Scale-Drawing-Constructions-And-Loci Edexcel Foundation
    5 主题
  15. 2D-And-3D-Shapes Edexcel Foundation
    4 主题
  16. Angles-In-Polygons-And-Parallel-Lines Edexcel Foundation
    5 主题
  17. Geometry-Toolkit Edexcel Foundation
    4 主题
  18. Exchange-Rates-And-Best-Buys Edexcel Foundation
    2 主题
  19. Standard-And-Compound-Units Edexcel Foundation
    5 主题
  20. Direct-And-Inverse-Proportion Edexcel Foundation
    1 主题
  21. Ratio-Problem-Solving Edexcel Foundation
    2 主题
  22. Ratio-Toolkit Edexcel Foundation
    3 主题
  23. Sequences Edexcel Foundation
    4 主题
  24. Solving-Inequalities Edexcel Foundation
    3 主题
  25. Real-Life-Graphs Edexcel Foundation
    4 主题
  26. Graphs-Of-Functions Edexcel Foundation
    3 主题
  27. Linear-Graphs Edexcel Foundation
    3 主题
  28. Coordinate-Geometry Edexcel Foundation
    3 主题
  29. Functions Edexcel Foundation
    1 主题
  30. Forming-And-Solving-Equations Edexcel Foundation
    2 主题
  31. Simultaneous-Equations Edexcel Foundation
    1 主题
  32. Solving-Quadratic-Equations Edexcel Foundation
    1 主题
  33. Linear-Equations Edexcel Foundation
    3 主题
  34. Algebraic-Reasoning Edexcel Foundation
    1 主题
  35. Rearranging-Formulas Edexcel Foundation
    1 主题
  36. Factorising Edexcel Foundation
    3 主题
  37. Expanding-Brackets Edexcel Foundation
    2 主题
  38. Algebraic-Roots-And-Indices Edexcel Foundation
    1 主题
  39. Algebra-Toolkit Edexcel Foundation
    4 主题
  40. Using-A-Calculator Edexcel Foundation
    1 主题
  41. Exact-Values Edexcel Foundation
    1 主题
  42. Rounding-Estimation-And-Error-Intervals Edexcel Foundation
    4 主题
  43. Fractions-Decimals-And-Percentages Edexcel Foundation
    2 主题
  44. Simple-And-Compound-Interest-Growth-And-Decay Edexcel Foundation
    4 主题
  45. Percentages Edexcel Foundation
    5 主题
  46. Fractions Edexcel Foundation
    6 主题
  47. Powers-Roots-And-Standard-Form Edexcel Foundation
    4 主题
  48. Types-Of-Number-Prime-Factors-Hcf-And-Lcm Edexcel Foundation
    6 主题
  49. Number-Toolkit Edexcel Foundation
    9 主题
课 Progress
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Exam code:1MA1

Angles in triangles

What are the angle properties of triangles?

  • The three interior angles inside any triangle add up to 180°

  • If the triangle is isosceles then two angles will be equal

    • These will be the two angles opposite the two sides of equal length

  • If the triangle is equilateral then all three angles will be equal

    • Each angle will equal 60°

  • A right-angled triangle has one 90° angle

angle properties of triangles

Examiner Tips and Tricks

  • Find all the missing angles that you can using the angles that are given to you in a question

    • They might not seem to help you straight away but having more angles will lead you to find the angle you need

Worked Example

The diagram below is formed using three straight lines. Find the value of x.

Triangle angle properties worked example question

Label the other missing angles inside the triangle
 

Triangle angle properties worked example working

Vertically opposite angles between two intersecting lines are equal

y space equals space 60

Angles that meet on a straight line add up to 180°

table row cell z space plus space 130 space end cell equals cell space 180 space end cell row cell z space end cell equals cell space 50 end cell end table

Interior angles in a triangle add up to 180°

<img alt=”table row cell x plus 60 plus 50 end cell equals 180 row cell x plus 110 end cell equals 180 end table” data-mathml=”<math ><semantics><mtable columnspacing=”0px” columnalign=”right center left”><mtr><mtd><mi>x</mi><mo>+</mo><mn>60</mn><mo>+</mo><mn>50</mn></mtd><mtd><mo>=</mo></mtd><mtd><mn>180</mn></mtd></mtr><mtr><mtd><mi>x</mi><mo>+</mo><mn>110</mn></mtd><mtd><mo>=</mo></mtd><mtd><mn>180</mn></mtd></mtr></mtable><annotation encoding=”application/vnd.wiris.mtweb-params+json”>{“fontFamily”:”Times New Roman”,”fontSize”:”18″,”autoformat”:true,”toolbar”:”<toolbar ref=’general’><tab ref=’general’><removeItem ref=’setColor’/><removeItem ref=’bold’/><removeItem ref=’italic’/><removeItem ref=’autoItalic’/><removeItem ref=’setUnicode’/><removeItem ref=’mtext’ /><removeItem ref=’rtl’/><removeItem ref=’forceLigature’/><removeItem ref=’setFontFamily’ /><removeItem ref=’setFontSize’/></tab></toolbar>”}</annotation></semantics></math>” data-type=”working” height=”48″ role=”math” src=”data:image/svg+xml;charset=utf8,%3Csvg%20xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F2000%2Fsvg%22%20xmlns%3Awrs%3D%22http%3A%2F%2Fwww.wiris.com%2Fxml%2Fmathml-extension%22%20height%3D%2248%22%20width%3D%22125%22%20wrs%3Abaseline%3D%2223%22%3E%3C!–MathML%3A%20%3Cmath%20xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmtable%20columnalign%3D%22right%20center%20left%22%20columnspacing%3D%220px%22%3E%3Cmtr%3E%3Cmtd%3E%3Cmi%3Ex%3C%2Fmi%3E%3Cmo%3E%2B%3C%2Fmo%3E%3Cmn%3E60%3C%2Fmn%3E%3Cmo%3E%2B%3C%2Fmo%3E%3Cmn%3E50%3C%2Fmn%3E%3C%2Fmtd%3E%3Cmtd%3E%3Cmo%3E%3D%3C%2Fmo%3E%3C%2Fmtd%3E%3Cmtd%3E%3Cmn%3E180%3C%2F

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