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Geometry Grade 6-8

Geometry: Angles

Measuring, naming, and reasoning about angles

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Measuring, naming, and reasoning about angles

Geometry - Grade 6-8

Instructions: Read each problem carefully. Show your work in the space provided.
  1. 1
    A small acute angle shown with two rays and a highlighted arc.

    An angle measures 35 degrees. Classify the angle as acute, right, obtuse, straight, or reflex. Explain your choice.

  2. 2
    An obtuse angle shown with two rays and a highlighted arc.

    An angle measures 118 degrees. Classify the angle as acute, right, obtuse, straight, or reflex. Explain your choice.

  3. 3
    An angle with one ray pointing left, one ray pointing up-right, and a protractor overlay.

    Use a protractor to measure angle ABC. Ray BA points straight left from point B, and ray BC points up and to the right. Record the angle measure to the nearest 5 degrees.

  4. 4
    A right angle split into two complementary angles.

    Two angles are complementary. One angle measures 27 degrees. What is the measure of the other angle?

  5. 5
    A straight angle split into two supplementary angles.

    Two angles are supplementary. One angle measures 64 degrees. What is the measure of the other angle?

  6. 6
    Two adjacent angles forming a straight line.

    Angles x and 72 degrees form a straight line. Write and solve an equation to find x.

  7. 7
    Intersecting lines with a pair of vertical angles highlighted.

    Two vertical angles are formed by intersecting lines. One angle measures 83 degrees. What is the measure of the vertical angle across from it?

  8. 8
    Two intersecting lines forming four angles, with opposite and adjacent angles highlighted.

    Two intersecting lines create four angles. One angle measures 122 degrees. Find the measures of the other three angles.

  9. 9
    A triangle with all three interior angles marked.

    In a triangle, two angles measure 45 degrees and 65 degrees. What is the measure of the third angle?

  10. 10
    A triangle with small, medium, and large interior angle arcs.

    In a triangle, the angle measures are x degrees, 2x degrees, and 3x degrees. Find the value of x and the measure of each angle.

  11. 11
    Parallel lines cut by a transversal with corresponding angles highlighted.

    Lines m and n are parallel. A transversal crosses them. An angle on line m measures 110 degrees. The corresponding angle on line n is labeled y. What is y?

  12. 12
    Parallel lines cut by a transversal with alternate interior angles highlighted.

    Lines p and q are parallel. A transversal crosses them. An interior angle on one side of the transversal measures 74 degrees. The alternate interior angle is labeled z. What is z?

  13. 13
    A clockwise turn shown with two curved arrow segments from an initial direction to a final direction.

    A full turn is 360 degrees. A student turns 90 degrees to the right, then 45 degrees more to the right. How many degrees has the student turned in all, and what type of angle is the total turn?

  14. 14
    An angle slightly larger than a right angle, with the extra portion highlighted.

    An angle is 25 degrees more than a right angle. What is the angle measure, and how should it be classified?

  15. 15
    Four angles meeting at a point, with one sector highlighted as the unknown angle.

    Four angles meet at a point. Three of the angles measure 80 degrees, 95 degrees, and 110 degrees. What is the measure of the fourth angle?

LivePhysics™.com Geometry - Grade 6-8

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