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P6 Math · Chapter 8brightbit.net/worksheets

Angles with Parallel Lines

Name: ______________________Class: ________Date: ____________Score: ____ / 10
  1. 1.

    Two parallel lines are cut by a transversal. One alternate interior angle is 65°. Find the other alternate interior angle.

    Answer: ____________________________________

  2. 2.

    Co-interior (same-side interior) angles formed by a transversal with parallel lines sum to:

    (a) 90°(b) 120°(c) 180°(d) 360°
  3. 3.

    Corresponding angles formed by a transversal with parallel lines are:

    (a) Supplementary (add to 180°)(b) Complementary (add to 90°)(c) Equal(d) Vertically opposite
  4. 4.

    A transversal cuts two parallel lines. A co-interior angle is 110°. Find the other co-interior angle.

    Answer: ____________________________________

  5. 5.

    In a diagram, angle a and angle b are alternate interior angles. Angle a = 3x + 10 and angle b = 5x − 20. Find x.

    Answer: ____________________________________

  6. 6.

    Vertically opposite angles are always:

    (a) Supplementary(b) Complementary(c) Equal(d) Adjacent
  7. 7.

    Two parallel lines are cut by a transversal. One corresponding angle is (2y + 15)° and the other is (4y − 25)°. Find y.

    Answer: ____________________________________

  8. 8.

    A straight line is crossed by two parallel lines. Name the THREE angle relationships this creates.

  9. 9.

    Two straight lines cross. One angle is 55°. Find all four angles formed.

    Answer: ____________________________________

  10. 10.

    Angle p and angle q are co-interior angles. p = 4x and q = 2x. Find x and both angles.

    Answer: ____________________________________

Answer key — P6 Math: Angles with Parallel Lines

For parents. Step-by-step explanations for every question are free on brightbit.net.

  1. 1.65°
  2. 2.(c) 180°
  3. 3.(c) Equal
  4. 4.70°
  5. 5.15
  6. 6.(c) Equal
  7. 7.20
  8. 8.Corresponding angles (equal), alternate interior angles (equal), co-interior angles (supplementary / add to 180°)
  9. 9.55°, 125°, 55°, 125°
  10. 10.x = 30, p = 120°, q = 60°
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