Sum = 180°: Mixed Review

Mathematics
GCSE Higher
10 questions
~20 mins
1 views0 downloads

About This Worksheet

A diverse worksheet focused on the key concept that co-interior angles on parallel lines sum to 180°, including procedural, reasoning, and real-world questions.

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Sum = 180°: Mixed Review

Subject: MathematicsGrade: GCSE Higher
Name:
Date:
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Untitled Worksheet

Grade GCSE Higher
A

Practice Questions

Answer all questions. Show your working in the grid spaces provided.
1.
If two co-interior angles on parallel lines are 65°, what is the measure of the other angle?
[2 marks]
2.
Calculate the missing angle if one co-interior angle is 120°.
[2 marks]
3.
Construct a pair of parallel lines with a transversal such that one co-interior angle measures 75°. Label the angles correctly.
[3 marks]
4.
In a diagram with parallel lines cut by a transversal, two co-interior angles are 85° and x. Find x.
[2 marks]
5.
Explain why the sum of co-interior angles on parallel lines is always 180°.
[3 marks]
6.
Two angles, 110° and y, are co-interior angles on parallel lines. What is y? Show your working.
[2 marks]
7.
A transversal crosses two parallel lines. If one co-interior angle is 45°, what are the measures of the other three angles formed on the same side?
[3 marks]
8.
In a real-world scenario, two roads run parallel. A transversal road intersects them, forming angles. If one pair of co-interior angles measures 130°, what is the measure of the corresponding angles on the other side?
[3 marks]
9.
Challenge: Two co-interior angles are x° and 125° on parallel lines. If x is 3 times the other angle, find x.
[3 marks]
10.
Identify and correct the mistake in this reasoning: 'If two angles are co-interior and on parallel lines, then one must be 180° and the other 0°.'
[2 marks]

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Details

Created
1/1/2026
Updated
1/1/2026
Type
worksheet