Angle Relationships and Parallel Lines Quiz

Grade 8 · Math · Quiz

Apply angle relationship rules to find unknown angles.

Questions

  1. Vertical angles: one is 42 degrees. The other is:

    1. 48 degrees
    2. 42 degrees
    3. 138 degrees
    4. 90 degrees
    Show answer

    Answer: 42 degrees

    Vertical angles are always equal.

  2. Corresponding angles are supplementary when formed by a transversal and parallel lines.

    Show answer

    Answer: False

    Corresponding angles are EQUAL (congruent), not supplementary, with parallel lines.

  3. Two angles adding to 90 degrees are called ___ angles.

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    Answer: complementary

    Complementary angles sum to exactly 90 degrees.

  4. Alternate interior angle is 55 degrees. The other alternate interior angle is:

    1. 35 degrees
    2. 55 degrees
    3. 125 degrees
    4. 180 degrees
    Show answer

    Answer: 55 degrees

    Alternate interior angles are congruent when lines are parallel.

  5. An angle is 130 degrees. Its supplement is:

    1. 40 degrees
    2. 50 degrees
    3. 60 degrees
    4. 80 degrees
    Show answer

    Answer: 50 degrees

    Supplementary angles sum to 180. 180 - 130 = 50 degrees.

  6. Co-interior angles formed by parallel lines are equal.

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    Answer: False

    Co-interior angles are supplementary (sum to 180), not equal.

  7. Angles on a straight line sum to ___ degrees.

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    Answer: 180

    Angles on one side of a straight line always sum to 180 degrees.

  8. One angle at an intersection is 75 degrees. The vertical angle is:

    1. 15 degrees
    2. 75 degrees
    3. 105 degrees
    4. 180 degrees
    Show answer

    Answer: 75 degrees

    Vertical angles are equal. Both are 75 degrees.

  9. Corresponding angles are in:

    1. Opposite positions at each crossing
    2. Same position at each parallel line crossing
    3. Between parallels on opposite sides
    4. Outside parallels on same side
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    Answer: Same position at each parallel line crossing

    Corresponding angles occupy the same relative position (e.g., upper-left) at each intersection.

  10. If alternate interior angles are NOT equal, the two lines are NOT parallel.

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    Answer: True

    Equal alternate interior angles are the test for parallel lines.

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