Mastering Angles in Parallel Lines
Mathematics
Grade 7
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A worksheet covering Angles in Parallel Lines for Grade 7 students.
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Mastering Angles in Parallel Lines
Subject: MathematicsGrade: Grade 7
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Untitled Worksheet
Grade Grade 7
A
Introduction
Review the key properties of angles formed when a transversal cuts parallel lines: corresponding angles are equal, alternate interior angles are equal, and consecutive interior angles are supplementary.
B
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
If two parallel lines are cut by a transversal, and one of the corresponding angles measures 65°, what is the measure of its corresponding angle?
[2 marks]2.
Identify whether the angles marked are alternate interior, corresponding, or consecutive interior angles:
[2 marks]AAlternate interior
BCorresponding
CConsecutive interior
3.
Calculate the value of the angle labeled x in the diagram where a transversal cuts parallel lines and one angle is 120°.
[3 marks]4.
On a diagram, two parallel lines are cut by a transversal. If one of the alternate interior angles measures 45°, what is the measure of the corresponding angle?
[2 marks]5.
Prove that the sum of consecutive interior angles on the same side of the transversal is 180°.
[4 marks]6.
In the diagram, two lines are cut by a transversal. If one of the angles is 130°, find the measure of the alternate interior angle.
[3 marks]7.
Two angles are supplementary. If one angle is 3 times the other, find the measures of both angles.
[3 marks]8.
In a diagram, the measure of an exterior angle is 110°. If the adjacent interior angle is x, express x in terms of the given.
[3 marks]9.
A transversal cuts two parallel lines, forming a pair of alternate interior angles both measuring 70°. What are the measures of the corresponding angles?
[2 marks]10.
Challenge: A park has two parallel fences and a diagonal path crossing both. If the angle between the path and one fence is 40°, what is the measure of the angle between the path and the other fence?
[4 marks]Quick Actions
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- Created
- 12/30/2025
- Updated
- 12/30/2025
- Type
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