Sum = 360°: Real-world Applications
Mathematics
Grade 8
12 questions
~24 mins
1 views0 downloads
About This Worksheet
A worksheet exploring the fundamental property that the sum of interior angles in a quadrilateral is 360°, with real-world and reasoning applications suitable for Grade 8 students.
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Sum = 360°: Real-world Applications
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 measure of the unknown angle in a quadrilateral where three angles are 85°, 90°, and 95°.
[2 marks]2.
A quadrilateral has interior angles measuring 110°, 85°, 70°, and an unknown angle. Find the unknown angle.
[2 marks]3.
Construct a quadrilateral where two angles are 100° and 80°, and the remaining two angles are equal. What are the measures of the remaining angles?
[3 marks]4.
Plot a quadrilateral on the grid with angles measuring 85°, 95°, 90°, and 90°.
[3 marks]5.
A rectangle has four right angles. What is the total sum of its interior angles?
[1 mark]6.
In a kite, two angles are 70° and 110°. The other two angles are unknown but form a quadrilateral. Find the measures of the unknown angles.
[2 marks]7.
A real estate agent is drawing a quadrilateral-shaped lot with angles labeled as 120°, 90°, and two unknown angles. If the total is 360°, what are the measures of the unknown angles?
[2 marks]8.
Identify and correct the mistake: A student claims that the sum of angles in a quadrilateral is 300°.
[2 marks]9.
A parallelogram has one interior angle measuring 110°. Find the measure of the adjacent angle.
[2 marks]10.
A floor is designed as a quadrilateral with angles measuring 90°, 85°, an unknown angle, and another unknown angle. If the remaining two angles are supplementary to each other, find their measures.
[3 marks]11.
Challenge: Construct a quadrilateral on the grid where the four interior angles are consecutive multiples of 10°, starting from 70°. Verify the angles sum to 360°.
[3 marks]12.
A student mistakenly adds 90°, 90°, 90°, and 60° for a quadrilateral. Explain why this is incorrect and state the correct total.
[2 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet