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Grade 8 · Geometry of Straight Lines
Angle Relationships: Straight, Intersecting & Perpendicular Lines
WORKSHEET
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  / 19

Answer all questions. Show all your working — marks are awarded for method as well as the final answer.

  1. 1
    Two angles on a straight line are (3x + 5)° and (x + 15)°. Determine the value of x, and hence the size of each angle.
    (4)
  2. 2
    Two vertically opposite angles are (4x + 10)° and (2x + 50)°. Determine the value of x, and hence the size of each angle.
    (4)
  3. 3
    Angles of 70° and x lie on a straight line. Find x.
    (1)
    70° x
  4. 4
    Angles of 95° and y lie on a straight line. Find y.
    (1)
    95° y
  5. 5
    Angles of 140°, 90° and p meet at a point. Find p.
    (2)
    140° 90° p
  6. 6
    Two lines cross forming an angle of 48°. What is its vertically opposite angle?
    (1)
    48° ?
  7. 7
    Two lines cross forming an angle of 48°. What is the neighbouring angle?
    (2)
    48° ?
  8. 8
    A right angle is split into 28° and k. Find k.
    (1)
    28° k
  9. 9
    What does AB ⊥ CD mean?
    (1)
  10. 10
    Angles 3x and 2x lie on a straight line. Find x.
    (2)
    3x 2x
TOTAL: 19 marks
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