Mastering Angles in Parallel Lines
Mathematics
GCSE Higher
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About This Worksheet
A worksheet covering Angles in Parallel Lines for GCSE Higher students, focusing on understanding and applying key angle properties.
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Mastering Angles in Parallel Lines
Subject: MathematicsGrade: GCSE Higher
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Date:
Untitled Worksheet
Grade GCSE Higher
A
Introduction
Review the basic angle properties of parallel lines cut by a transversal. Remember: corresponding angles are equal, alternate interior angles are equal, and co-interior angles sum to 180°.
B
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Calculate the value of the angle marked x in the diagram where a transversal crosses two parallel lines, given that one of the corresponding angles is 65°.
[2 marks]2.
In a pair of parallel lines cut by a transversal, if one alternate interior angle measures 120°, what is the measure of the corresponding angle on the other parallel line?
[2 marks]3.
Find the value of angle y if it is supplementary to a 110° co-interior angle.
[2 marks]4.
When a transversal crosses two parallel lines, and an alternate interior angle measures 85°, what is the measure of the corresponding angle?
[2 marks]5.
Calculate the unknown angle z if the two angles adjacent to it are 50° and 70°.
[2 marks]6.
If one of the alternate interior angles is 95°, find the angle on the other parallel line corresponding to it.
[2 marks]7.
In the diagram, a transversal cuts two parallel lines, creating angles of 130° and x. If the 130° angle is alternate interior to angle x, find x.
[2 marks]8.
Determine the value of the angle marked m if it is vertically opposite to a 75° angle.
[2 marks]9.
Given two parallel lines cut by a transversal, with alternate interior angles measuring 45° and 135°, identify the measures of the corresponding and co-interior angles.
[3 marks]10.
Calculate the missing angle in the diagram where a transversal intersects two parallel lines, and the angles on the same side are 100° and x.
[3 marks]11.
Challenge: A real-world scenario involves two roads crossing at a junction. If the angles formed are such that one is 70° and the other adjacent is x, find x and explain your reasoning based on parallel line angle properties.
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- Created
- 12/30/2025
- Updated
- 12/30/2025
- Type
- worksheet