Sample Problems

Most (if not all) of these problems came from Taylor tests (you know who you are). Because of that, these should be considered slightly above average in terms of difficulty. Answers are on the answer page, and links are provided to each specific answer.

1. An angle has a measure 44 degrees more than the measure of a supplement to it. What is the measure of the angle?
   • Answer

2. Given: 1 and 2 are a linear pair.
   Conclusion: m1 + m2 = 180 degrees.
   Justify.
   • Answer

3. A line contains points (4, -3) and (7, -4). What is the slope of a line perpendicular to this line?
   • Answer

4. True or False.
   Vertical angles are always supplementary.
   • Answer

5. Two times the measure of the supplement of an angle is seven times the measure of the complement of the angle. Find the measure of the angle.
   • Answer

6. Given: and have the same slope.
   Conclusion: .
   Justify
   • Answer

- Jaime III