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NAME _____________________________________________ DATE ____________________________
PERIOD ____________
7th Grade Pre-AP - Lesson 5.1 Homework
Parallel Lines and Angle Relationships
For Exercises 1-6, use the figure at the right. In the figure,
line m is parallel to line n:
List all pairs of each type of angle.
1. vertical
2. complementary
3. supplementary
4. corresponding
5. alternate interior
6. alternate exterior
Use the figure at the right for Exercises 7-10.
7. Determine the measure of ∠2. Explain your reasoning.
8. Determine the measure of ∠3. Explain your reasoning.
9. Determine the measure of ∠4. Explain your reasoning.
10. Determine the measure of ∠6. Explain your reasoning.
11. Angles A and B are corresponding angles formed by two parallel lines cut by a transversal. If
m∠A = 4x and m∠B = 3x + 7, find the value of x. Explain.
12. Angles G and H are supplementary and congruent. If ∠G and ∠H are alternate interior angles, what is
the measure of each angle?
Course 3 • Chapter 5
Triangles and the Pythagorean Theorem
NAME _____________________________________________ DATE ____________________________
PERIOD ____________
Problem-Solving Practice
Parallel Lines and Angle Relationships
13. The symbol below is an equal sign with a
slash through it. It is used to represent not
equal to in math, as in 1 ≠ 2. If m∠1 =
108°, classify the relationship between ∠1
and ∠2. Then determine mL2. Assume the
equal sign consists of parallel lines.
14. Arturo is designing a bridge for science
class using parallel supports for the top
and bottom beam. Determine m∠2 if
m∠1 = 60°.
15. For cheerleading practice, Kiara must be
able to lift her legs so that they are parallel
to her outstretched arms. For each side of
her body, what is the relationship between
the angle formed by her arms and the floor
and the angle formed by her legs and the
floor?
16. In the figure, line m is parallel to line n.
If m∠3 = 7x – 10 and m∠6 = 5x + 10,
What is the measure of ∠3 and ∠6?
17. Refer to the figure in Exercise 4. If
m∠1 = 4x + 40, and m∠5 = 120°,
what is the value of x?
18. The drawing below shows the side view
of a drawing easel. The brace is parallel
to the ground. If m∠A is 82°, what is the
measure of ∠B?
Course 3 • Chapter 5
Triangles and the Pythagorean Theorem