Skills · Geometry · Angles & Lines

Parallel lines and transversals

Printable practice with an answer key the engine computes, at three levels, in as many versions as you need.

Problem types

Sample Sheet · Level 1

  1. two parallel lines cut by a transversal; angles 132° and ?, alternate exterior132°?
    Find the measure of the angle marked ?.
  2. two parallel lines cut by a transversal; angles 107° and ?, same-side interior?107°
    Find the measure of the angle marked ?.
  3. two parallel lines cut by a transversal; angles ? and 49°, alternate interior?49°
    Find the measure of the angle marked ?.
  4. two parallel lines cut by a transversal; angles 141° and ?, corresponding?141°
    Find the measure of the angle marked ?.
  5. two parallel lines cut by a transversal; angles 126° and ?, alternate interior126°?
    Find the measure of the angle marked ?.
  6. two parallel lines cut by a transversal; angles 103° and ?, same-side interior103°?
    Find the measure of the angle marked ?.
  7. two parallel lines cut by a transversal; angles ? and 135°, corresponding135°?
    Find the measure of the angle marked ?.
  8. two parallel lines cut by a transversal; angles 140° and ?, alternate exterior140°?
    Find the measure of the angle marked ?.

Answer key

  1. 132°
  2. 73°
  3. 49°
  4. 141°
  5. 126°
  6. 77°
  7. 135°
  8. 140°

Sample Sheet · Level 3

  1. two parallel lines cut by a transversal; angles ∠6 (5x + 49)° and ∠4 (7x − 13)°, same-side interior46
    m∠6 = (5x + 49)° and m∠4 = (7x − 13)°. Find m∠4.
  2. two parallel lines cut by a transversal; angles ∠6 (8x + 12)° and ∠3 (6x + 42)°, alternate interior36
    m∠6 = (8x + 12)° and m∠3 = (6x + 42)°. Find m∠6.
  3. two parallel lines cut by a transversal; angles ∠4 (3x + 30)° and ∠6 (4x − 11)°, same-side interior46
    m∠4 = (3x + 30)° and m∠6 = (4x − 11)°. Find m∠6.
  4. two parallel lines cut by a transversal; angles ∠1 (2x + 42)° and ∠5 (4x − 12)°, corresponding15
    m∠1 = (2x + 42)° and m∠5 = (4x − 12)°. Find m∠1.
  5. two parallel lines cut by a transversal; angles ∠5 (5x + 44)° and ∠4 (9x − 32)°, alternate interior45
    m∠5 = (5x + 44)° and m∠4 = (9x − 32)°. Find m∠5.
  6. two parallel lines cut by a transversal; angles ∠6 (x + 47)° and ∠2 (3x + 9)°, corresponding26
    m∠6 = (x + 47)° and m∠2 = (3x + 9)°. Find m∠6.
  7. two parallel lines cut by a transversal; angles ∠7 (2x + 34)° and ∠2 (4x − 10)°, alternate exterior27
    m∠7 = (2x + 34)° and m∠2 = (4x − 10)°. Find m∠2.
  8. two parallel lines cut by a transversal; angles ∠1 (5x + 26)° and ∠8 (9x − 42)°, alternate exterior18
    m∠1 = (5x + 26)° and m∠8 = (9x − 42)°. Find m∠1.

Answer key

  1. 71°
  2. 132°
  3. 81°
  4. 96°
  5. 139°
  6. 66°
  7. 78°
  8. 111°

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