Mastering Angles in Parallel Lines
Mathematics
GCSE Higher
0 questions
0 views0 downloads
About This Worksheet
A worksheet covering Angles in Parallel Lines for GCSE Higher students.
Topics covered:
Worksheet Preview
Full preview • 0 questions
Mastering Angles in Parallel Lines
Subject: MathematicsGrade: GCSE Higher
Name:
Date:
Untitled Worksheet
Grade GCSE Higher
A
Introduction
Review the properties of angles formed when a transversal cuts parallel lines. Remember, corresponding angles are equal, alternate 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, lines l and m are parallel and cut by a transversal. If the angle at point P is 65°, find the corresponding angle at point Q.
[2 marks]2.
Calculate the value of the alternate interior angle when one of the angles is 110° with parallel lines cut by a transversal.
[2 marks]3.
If a co-interior angle is 120°, what is the measure of its supplementary angle?
[2 marks]4.
Identify the type of angle pair formed at the intersection of a transversal and parallel lines when the angles are equal but not adjacent.
[1 mark]5.
Given that one angle is 75°, find the measure of the angle vertically opposite to it.
[2 marks]6.
On a diagram, lines p and q are parallel, cut by a transversal. If the corresponding angle at one intersection measures 85°, what is the measure of the alternate interior angle at the other intersection?
[2 marks]7.
Two angles are supplementary and one measures 130°. Find the other angle.
[2 marks]8.
In the diagram, angle A is 40°, and lines are parallel. Find the measure of the corresponding angle at the same intersection.
[2 marks]9.
If the exterior angle of a parallel line and transversal setup is 95°, what is the measure of its corresponding interior angle?
[2 marks]10.
A transversal cuts two parallel lines, creating an angle of 70° at one intersection. What is the measure of the alternate interior angle at the other intersection?
[2 marks]11.
Challenge: A real-world scenario involves two roads crossing at an intersection where the angles formed are known. If the angle of one turn is 55°, what are the measures of the corresponding and alternate interior angles at the crossing, assuming the roads are parallel?
[3 marks]12.
Bonus: In a park layout, a pathway crosses two parallel fences, forming multiple angles. If one of the angles where the pathway meets the fence is 60°, determine all angles related to it that are equal or supplementary, explaining your reasoning.
[3 marks]Quick Actions
What is Remix?
Create a new worksheet based on this one. Change the grade level, topic, number of questions, or difficulty - then generate a fresh version.
- • Change grade level (Grade 6 → Grade 7)
- • Swap topics (Harry Potter → Macbeth)
- • Add more questions (10 → 15)
- • Adjust difficulty
Related Worksheets
Details
- Created
- 12/30/2025
- Updated
- 12/30/2025
- Type
- worksheet