Calculating: Real-world Applications of Vertically Opposite Angles
Mathematics
Grade 8
10 questions
~20 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on calculating angles formed by intersecting lines in real-world and abstract contexts, emphasizing the application of vertically opposite angles.
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Calculating: Real-world Applications of Vertically Opposite Angles
Subject: MathematicsGrade: Grade 8
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Untitled Worksheet
Grade Grade 8
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Calculate the value of angle ABC if it is vertically opposite to angle DEF, which measures 65°.
[2 marks]2.
In a pair of intersecting roads, one angle measures 40°. Find the measure of its vertically opposite angle.
[2 marks]3.
Two lines intersect, forming an angle of 120°. What is the measure of the vertically opposite angle?
[2 marks]4.
Construct two intersecting lines such that one of the angles measures 70°. What is the measure of the vertically opposite angle?
[3 marks]5.
In a diagram, lines XY and ZW intersect, forming an angle of 85° at the intersection. Calculate the measure of the vertically opposite angle.
[2 marks]6.
A traffic light intersection shows two crossing roads. If one of the angles formed by the roads is 55°, what is the measure of the vertically opposite angle?
[3 marks]7.
Two intersecting lines form an angle of 95°. Find all angles around the intersection point.
[3 marks]8.
A street corner forms a pair of vertically opposite angles, one of which is 45°. A driver claims the other should also be 45°. Is the driver correct? Explain briefly.
[3 marks]9.
Given two intersecting lines with one angle of 110°, find the measure of the adjacent angle and explain your reasoning.
[3 marks]10.
Identify and correct the mistake: A student states that vertically opposite angles can be different in measure.
[2 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet