Mastering Angles in Parallel Lines
Mathematics
GCSE Foundation
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A worksheet covering Angles in Parallel Lines for GCSE Foundation students.
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Mastering Angles in Parallel Lines
Subject: MathematicsGrade: GCSE Foundation
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Untitled Worksheet
Grade GCSE Foundation
A
Introduction
Review the key properties of angles formed when a transversal crosses parallel lines. Remember: corresponding angles are equal, alternate interior angles are equal, and co-interior angles are supplementary.
B
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 corresponding angles measures 65°, find the other corresponding angle.
[2 marks]2.
Calculate the measure of the alternate interior angle when the given angle is 120°.
[2 marks]3.
If a co-interior angle is 110°, what is the measure of its adjacent co-interior angle?
[2 marks]4.
Identify the type of angles marked as x and y in the diagram where two parallel lines are crossed by a transversal, with x = 80° and y = ?
[2 marks]5.
In a diagram with parallel lines and a transversal, if the alternate interior angles are 45°, what are the corresponding angles?
[2 marks]6.
A transversal intersects two parallel lines. One of the angles is 75°. Find the angle vertically opposite to it.
[2 marks]7.
Using the diagram, determine the measure of the angle supplementary to 105°.
[2 marks]8.
In the diagram, the measure of an alternate interior angle is 130°. Find the measure of the corresponding angle on the other parallel line.
[2 marks]9.
Reasoning: Parallel lines are cut by a transversal. If one interior angle measures 85°, what is the measure of the co-interior angle adjacent to it?
[3 marks]10.
Reasoning: Two parallel lines are crossed by a transversal. The angles at one intersection are 70° and y°. If the angles are supplementary, find y.
[3 marks]11.
Challenge: A real-world scenario involves two parallel railway tracks with a crossing. If the angle of elevation of a signal from the ground directly below the crossing is 35°, and the distance from the observer to the crossing is 50 meters horizontally, calculate the height of the signal. (Use trigonometry: tan θ = height / distance).
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- Created
- 12/30/2025
- Updated
- 12/30/2025
- Type
- worksheet