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Maths Gcse Aqa Foundation

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  1. Scatter-Graphs-And-Correlation Aqa Foundation
    2 主题
  2. Statistical-Diagrams Aqa Foundation
    6 主题
  3. Averages-Ranges-And-Data Aqa Foundation
    7 主题
  4. Tree-Diagrams-And-Combined-Probability Aqa Foundation
    2 主题
  5. Simple-Probability-Diagrams Aqa Foundation
    4 主题
  6. Transformations Aqa Foundation
    4 主题
  7. Vectors Aqa Foundation
    3 主题
  8. Pythagoras-And-Trigonometry Aqa Foundation
    5 主题
  9. Congruence-Similarity-And-Geometrical-Proof Aqa Foundation
    5 主题
  10. Volume-And-Surface-Area Aqa Foundation
    3 主题
  11. Circles-Arcs-And-Sectors Aqa Foundation
    3 主题
  12. Area-And-Perimeter Aqa Foundation
    4 主题
  13. Bearings-Scale-Drawing-Constructions-And-Loci Aqa Foundation
    5 主题
  14. 2D-And-3D-Shapes Aqa Foundation
    4 主题
  15. Angles-In-Polygons-And-Parallel-Lines Aqa Foundation
    5 主题
  16. Symmetry-And-Shapes Aqa Foundation
    4 主题
  17. Exchange-Rates-And-Best-Buys Aqa Foundation
    2 主题
  18. Standard-And-Compound-Units Aqa Foundation
    5 主题
  19. Direct-And-Inverse-Proportion Aqa Foundation
    1 主题
  20. Ratio-Problem-Solving Aqa Foundation
    2 主题
  21. Sequences Aqa Foundation
    4 主题
  22. Solving-Inequalities Aqa Foundation
    3 主题
  23. Real-Life-Graphs Aqa Foundation
    4 主题
  24. Graphs-Of-Functions Aqa Foundation
    3 主题
  25. Linear-Graphs Aqa Foundation
    3 主题
  26. Coordinate-Geometry Aqa Foundation
    3 主题
  27. Functions Aqa Foundation
    1 主题
  28. Forming-And-Solving-Equations Aqa Foundation
    2 主题
  29. Simultaneous-Equations Aqa Foundation
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  30. Solving-Quadratic-Equations Aqa Foundation
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  31. Linear-Equations Aqa Foundation
    3 主题
  32. Algebraic-Reasoning Aqa Foundation
    1 主题
  33. Rearranging-Formulas Aqa Foundation
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  34. Introduction Aqa Foundation
    10 主题
  35. Factorising Aqa Foundation
    3 主题
  36. Expanding-Brackets Aqa Foundation
    2 主题
  37. Algebraic-Roots-And-Indices Aqa Foundation
    1 主题
  38. Using-A-Calculator Aqa Foundation
    1 主题
  39. Exact-Values Aqa Foundation
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  40. Rounding-Estimation-And-Error-Intervals Aqa Foundation
    4 主题
  41. Fractions-Decimals-And-Percentages Aqa Foundation
    2 主题
  42. Simple-And-Compound-Interest-Growth-And-Decay Aqa Foundation
    4 主题
  43. Percentages Aqa Foundation
    5 主题
  44. Fractions Aqa Foundation
    6 主题
  45. Powers-Roots-And-Standard-Form Aqa Foundation
    4 主题
  46. Types-Of-Number-Prime-Factors-Hcf-And-Lcm Aqa Foundation
    6 主题
  47. Number-Operations Aqa Foundation
    9 主题
课 Progress
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Exam code:8300

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%2Fmn%3E%3C

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