Angle Relationships and Parallel Lines Quiz
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Questions and Answers

Two angles are supplementary. If one angle measures 110 degrees, what is the measure of the other angle?

  • 80 degrees
  • 70 degrees (correct)
  • 110 degrees
  • 250 degrees
  • Two lines intersect forming a 'Z' pattern. If one of the alternate angles measures 65 degrees, what is the measure of the other alternate angle?

  • 180 degrees
  • 65 degrees (correct)
  • 25 degrees
  • 115 degrees
  • A triangle has two angles measuring 40 degrees and 60 degrees. What is the measure of the third angle?

  • 180 degrees
  • 120 degrees
  • 100 degrees
  • 80 degrees (correct)
  • Two parallel lines are intersected by a transversal forming a 'C' pattern. If one of the co-interior angles measures 105 degrees, what is the measure of the other co-interior angle?

    <p>75 degrees (D)</p> Signup and view all the answers

    A quadrilateral has three angles measuring 80 degrees, 110 degrees, and 90 degrees. What is the measure of the fourth angle?

    <p>80 degrees (D)</p> Signup and view all the answers

    Flashcards

    Complementary Angles

    Two angles that add up to 90 degrees.

    Supplementary Angles

    Two angles that add up to 180 degrees.

    Triangle Angles

    The three angles in a triangle add up to 180 degrees.

    Quadrilateral Angles

    The four angles in a quadrilateral add up to 360 degrees.

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    Z Pattern (Alternate Angle Theory)

    Angles that are opposite each other when two lines cross are equal.

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    Study Notes

    Angle Relationships

    • Complementary angles are two angles that add up to 90 degrees.
    • Supplementary angles are two angles that add up to 180 degrees.
    • Triangle angles: The three angles inside a triangle always add up to 180 degrees.
    • Quadrilateral angles: The four angles inside a quadrilateral always add up to 360 degrees.

    Parallel Lines and Angles

    • Alternate angles (Z-pattern): When two parallel lines are crossed by a transversal, the angles opposite each other and in the shape of a Z are equal in measure.
    • Corresponding angles (F-pattern): When two parallel lines are crossed by a transversal, the angles in matching positions (i.e.,top left, top right etc) are equal in measure.
    • Co-interior angles (C-pattern): When two parallel lines are crossed by a transversal, the angles inside the parallel lines, on the same side of the transversal add up to 180 degrees.

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    Description

    Test your knowledge on angle relationships, including complementary and supplementary angles, as well as properties of angles in triangles and quadrilaterals. Additionally, explore the properties of angles formed by parallel lines and a transversal. Perfect for geometry students!

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