180°: Real-world Applications of Straight Line Angles

Mathematics
GCSE Foundation
12 questions
~24 mins
1 views0 downloads

About This Worksheet

A worksheet exploring the concept of 180° on straight lines through real-world contexts, calculations, and reasoning tasks.

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180°: Real-world Applications of Straight Line Angles

Subject: MathematicsGrade: GCSE Foundation
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Untitled Worksheet

Grade GCSE Foundation
A

Practice Questions

Answer all questions. Show your working in the grid spaces provided.
1.
Calculate the missing angle on a straight line if one adjacent angle measures 65°. Show your working.
[2 marks]
2.
Two angles on a straight line measure 120° and an unknown angle. Find the unknown angle.
[2 marks]
3.
Construct an angle of 145° on your grid. Use a straight line and a point to illustrate the angle.
[3 marks]
4.
Identify the common mistake in this reasoning: 'Since two angles on a straight line are 85° and 85°, their sum is 170°, so they do not form a straight line.'
[3 marks]
5.
A road intersects a straight road at a point, forming an angle of 110° on one side. What is the angle on the opposite side of the intersection?
[2 marks]
6.
On a straight line, two angles are supplementary, with one measuring 75°. Find the other.
[2 marks]
7.
A carpenter cuts a piece of wood to form a straight corner with an angle of 150°. What is the angle adjacent to it on the same straight edge?
[2 marks]
8.
Plot the graph of y=2x on your grid. Connect the points to illustrate the straight line.
[3 marks]
9.
Construct a straight line segment with an angle of 170° at one end, using the grid.
[3 marks]
10.
A wall is built with a corner where the two walls meet at an angle of 135°. What is the angle between the wall and the ceiling if the ceiling is perpendicular to the wall?
[3 marks]
11.
Explain why angles of 100° and 80° do not form a straight line.
[3 marks]
12.
A mirror is placed along a straight corridor. If an angle of 160° is observed between the mirror and the wall, what is the angle on the other side of the mirror?
[2 marks]

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Details

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