Mastering Angles in Parallel Lines
Mathematics
Grade 7
10 questions
~20 mins
0 views0 downloads
About This Worksheet
A worksheet covering Angles in Parallel Lines for Grade 7 students. It includes basic questions and real-world applications to develop understanding.
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Mastering Angles in Parallel Lines
Subject: MathematicsGrade: Grade 7
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Untitled Worksheet
Grade Grade 7
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
In the diagram, two parallel lines are cut by a transversal. If one of the alternate interior angles measures 65°, find the measure of its corresponding angle.
[2 marks]2.
Identify whether the following pairs of angles are equal, supplementary, or neither: (a) Corresponding angles, (b) Alternate interior angles, (c) Co-interior angles.
[2 marks]3.
Calculate the value of the unknown angle in the diagram where a transversal cuts two parallel lines, and one of the angles is 120°.
[3 marks]4.
If two angles are supplementary and one of them measures 110°, what is the measure of the other angle?
[2 marks]5.
Draw a diagram showing two parallel lines cut by a transversal, labeling all angles equal to 70° and 110° as appropriate.
[3 marks]6.
In a diagram with parallel lines and a transversal, if an alternate interior angle measures 85°, what is the measure of the corresponding angle on the other side of the transversal?
[2 marks]7.
Explain why alternate interior angles are equal when two lines are parallel and cut by a transversal.
[3 marks]8.
Two parallel lines are cut by a transversal. The angles at the intersection are marked 110°, x°, and 70°. Find the value of x°.
[3 marks]9.
A real-world scenario: A railway track has two parallel rails. A surveyor measures the angles formed where the crossing road intersects the tracks and finds some angles are 75° and 105°. How are these angles related, and what properties of parallel lines do they illustrate?
[4 marks]10.
Challenge: In a park, two parallel fences are intersected by a diagonal path forming various angles. If one of the angles at the intersection is 50°, find all other angles formed, explaining your reasoning.
[4 marks]Quick Actions
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- Created
- 12/30/2025
- Updated
- 12/30/2025
- Type
- worksheet