📐 Part 1: Identifying Angle Relationships

Diagram: Two parallel lines AB and CD are cut by a transversal EF. The angles formed are numbered 1-8.

Line AB || Line CD, with transversal EF creating 8 angles where:

• Angles 1, 2, 3, 4 are on line AB

• Angles 5, 6, 7, 8 are on line CD

1. Angles 3 and 6 are:

Corresponding angles

Alternate interior angles

Co-interior angles

Vertically opposite angles

2. Angles 4 and 6 are:

Corresponding angles

Alternate interior angles

Co-interior angles

Alternate exterior angles

3. Which angles are corresponding to angle 2? (Select all that apply)

Angle 4

Angle 6

Angle 7

Angle 8

4. Co-interior angles are also known as:

Allied angles

Same-side interior angles

Both of the above

Neither of the above

🧮 Part 2: Calculating Angles

5. If angle 1 = 65°, what is the measure of angle 5?

Angle 5 = _______°

6. Two parallel lines are cut by a transversal. If one of the co-interior angles measures 110°, what is the measure of its co-interior partner?

Co-interior angle = _______°

7. In the diagram above, if angle 3 = 72°, find:

a) Angle 6 = _______° (alternate interior)

b) Angle 5 = _______° (co-interior)

c) Angle 7 = _______° (corresponding)

8. Explain why alternate interior angles are equal when lines are parallel.

🎯 Part 3: Problem Solving

9. Two parallel lines are cut by a transversal. One angle measures (3x + 20)° and its corresponding angle measures (5x - 40)°. Find the value of x and the measure of both angles.

x = _______ and both angles = _______°

10. Draw your own diagram showing two parallel lines cut by a transversal. Label one pair each of corresponding angles, alternate interior angles, and co-interior angles.