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Angle Relationships Worksheet
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Angle Relationships Worksheet
🔍 Part 1: Identifying Angle Relationships
1. When two parallel lines are cut by a transversal, which angles are alternate interior angles?
Angles on the same side of the transversal, inside the parallel lines
Angles on opposite sides of the transversal, inside the parallel lines
Angles on opposite sides of the transversal, outside the parallel lines
Angles in the same position relative to their intersection point
2. Corresponding angles are:
Always equal when lines are parallel
Always supplementary
Located on opposite sides of the transversal
Only found inside parallel lines
3. Which statements about alternate exterior angles are true? (Check all that apply)
They are located outside the parallel lines
They are on opposite sides of the transversal
They are always equal when lines are parallel
They are supplementary to each other
4. If two parallel lines are cut by a transversal and one angle measures 65°, what is the measure of its corresponding angle?
25°
65°
115°
180°
📐 Part 2: Problem Solving
5. Two parallel lines are cut by a transversal. If an alternate interior angle measures 118°, what is the measure of its partner alternate interior angle?
Answer: _____________°
6. Lines AB and CD are parallel, cut by transversal EF. If angle 1 = 72°, find the measures of the following angles:
a) Corresponding angle to angle 1: _______°
b) Alternate interior angle to angle 1: _______°
c) Alternate exterior angle to angle 1: _______°
7. Explain why alternate interior angles are equal when two parallel lines are cut by a transversal. Use complete sentences.
✏️ Part 3: Draw and Label
8. Draw two parallel lines cut by a transversal. Label one pair of alternate exterior angles as angles A and B.
9. In your drawing above, if angle A = 135°, what is the measure of angle B? Explain your reasoning.
Angle B = _______°
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