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Grade 8 · Geometry of Straight Lines
Angle Relationships: Straight, Intersecting & Perpendicular Lines
MEMORANDUM
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Class: 
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Mark
  / 16

Answer all questions. Show all your working — marks are awarded for method as well as the final answer. Teacher copy: accept any correct equivalent method.

  1. 1
    Angles of 70° and x lie on a straight line. Find x.
    (2)
    70° x
    180 − 70 = 110°✓✓ (2)
  2. 2
    Angles of 95° and y lie on a straight line. Find y.
    (2)
    95° y
    180 − 95 = 85°✓✓ (2)
  3. 3
    Angles of 140°, 90° and p meet at a point. Find p.
    (2)
    140° 90° p
    360 − 230 = 130°✓✓ (2)
  4. 4
    Two lines cross forming an angle of 48°. What is its vertically opposite angle?
    (2)
    48° ?
    48° (vertically opposite angles are equal)✓✓ (2)
  5. 5
    Two lines cross forming an angle of 48°. What is the neighbouring angle?
    (2)
    48° ?
    180 − 48 = 132°✓✓ (2)
  6. 6
    A right angle is split into 28° and k. Find k.
    (2)
    28° k
    90 − 28 = 62°✓✓ (2)
  7. 7
    What does AB ⊥ CD mean?
    (2)
    AB is perpendicular to CD — they meet at 90°.✓✓ (2)
  8. 8
    Angles 3x and 2x lie on a straight line. Find x.
    (2)
    3x 2x
    3x + 2x = 180 → 5x = 180 → x = 36°✓✓ (2)
TOTAL: 16 marks
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