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Give the reason for each step in an angle argument

10th grade (Year 11 in England) · 10 questions · Common Core: HSG.CO.C.9 · England: GCSE Foundation Geometry, GCSE Higher Geometry

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  1. Question 1

    Two straight lines cross. Angle p is vertically opposite an angle of 130°. Find p in degrees.

    Answer

  2. Question 2

    A line crosses two parallel lines. Angle p and an angle of 54° are between the parallel lines, on the same side of the crossing line (a C shape). Which reason should go with the step that finds p?

    • A. Co-interior angles add up to 180°
    • B. Angles around a point add up to 360°
    • C. Angles on a straight line add up to 180°
    • D. Vertically opposite angles are equal

  3. Question 3

    Angle p and an angle of 37° are co-interior angles between parallel lines. Find p in degrees.

    Answer

  4. Question 4

    A line crosses two parallel lines. Angle p and an angle of 63° are between the parallel lines, on the same side of the crossing line (a C shape). Which reason should go with the step that finds p?

    • A. Co-interior angles add up to 180°
    • B. Corresponding angles are equal
    • C. Angles on a straight line add up to 180°
    • D. Alternate angles are equal

  5. Question 5

    Angle p and an angle of 108° are corresponding angles on parallel lines. Find p in degrees.

    Answer

  6. Question 6

    Angle p and an angle of 60° sit side by side and together make a straight line. Which reason should go with the step that finds p?

    • A. Angles on a straight line add up to 180°
    • B. Vertically opposite angles are equal
    • C. Alternate angles are equal
    • D. Angles around a point add up to 360°

  7. Question 7

    Two straight lines cross. Angle p is vertically opposite an angle of 88°. Find p in degrees.

    Answer

  8. Question 8

    A line crosses two parallel lines. Angle p and an angle of 93° are between the parallel lines, on the same side of the crossing line (a C shape). Which reason should go with the step that finds p?

    • A. Angles around a point add up to 360°
    • B. Co-interior angles add up to 180°
    • C. Angles on a straight line add up to 180°
    • D. Alternate angles are equal

  9. Question 9

    Angle p and an angle of 42° are co-interior angles between parallel lines. Find p in degrees.

    Answer

  10. Question 10

    A line crosses two parallel lines. Angle p and an angle of 46° are between the parallel lines, on the same side of the crossing line (a C shape). Which reason should go with the step that finds p?

    • A. Vertically opposite angles are equal
    • B. Angles around a point add up to 360°
    • C. Alternate angles are equal
    • D. Co-interior angles add up to 180°

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  1. 130
  2. Co-interior angles add up to 180°
  3. 143
  4. Co-interior angles add up to 180°
  5. 108
  6. Angles on a straight line add up to 180°
  7. 88
  8. Co-interior angles add up to 180°
  9. 138
  10. Co-interior angles add up to 180°