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Lesson 1: Measuring Angles — Practice Questions

  1. 1. Angles $\angle LMN$ and $\angle NMP$ share vertex M and common side $\overrightarrow{MN}$. They have no interior points in common. Which term best describes this pair of angles?

    • A. Vertical angles
    • B. Adjacent angles
    • C. Congruent angles
    • D. Straight angles
  2. 2. Angles $\angle PQR$ and $\angle RQS$ are adjacent. The measure of $\angle PQR$ is $55°$ and the measure of $\angle RQS$ is $35°$. What is the measure of the larger angle they form, $\angle PQS$, in degrees? ___

  3. 3. Which of the following conditions is NOT required for two angles to be considered adjacent?

    • A. They must share a common vertex.
    • B. They must have the same measure.
    • C. They must share a common side.
    • D. They must have no common interior points.
  4. 4. Adjacent angles $\angle ABC$ and $\angle CBD$ form the angle $\angle ABD$. If $m\angle ABD = 120°$ and $m\angle ABC = 45°$, what is the measure of $\angle CBD$ in degrees? ___

  5. 5. Consider $\angle XYZ$ where point W is in the interior of the angle. Why are $\angle XYZ$ and $\angle XYW$ NOT adjacent angles?

    • A. They do not share a common vertex.
    • B. They do not share a common side.
    • C. Their interiors overlap.
    • D. One angle is obtuse.
  6. 6. What is the common endpoint shared by the two rays that form an angle called?

    • A. Endpoint
    • B. Vertex
    • C. Segment
    • D. Line
  7. 7. Which geometric figure is defined as having one vertex and extending infinitely in only one direction?

    • A. A line segment
    • B. An angle
    • C. A ray
    • D. A point
  8. 8. A straight path drawn on a blueprint between two specific points represents which geometric figure?

    • A. A ray
    • B. An angle
    • C. A line segment
    • D. A vertex
  9. 9. An angle is formed by two rays that share a common endpoint. How many rays are needed to form a single angle? ___

  10. 10. A line segment is a part of a line that is determined by a specific number of endpoints. How many endpoints does a line segment have? ___