Angles in Geometry - Grade 7 Practice Worksheet

Mathematics
7
5 questions
~10 mins
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About This Worksheet

This medium level Geometry worksheet is designed for grade 7 to develop key mathematical skills. It includes 20 engaging problems covering essential concepts in Geometry. Perfect for classroom practice, homework, or assessment preparation. This worksheet helps students build confidence and proficiency in mathematics through structured practice with clear solutions provided.

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Angles in Geometry - Grade 7 Practice Worksheet

Subject: MathematicsGrade: 7
Name:
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Angles in Geometry - Grade 7 Practice Worksheet

Mathematics | Grade 7
Instructions: Read each question carefully. For calculation problems, show all your work. For multiple-choice questions, select the best answer. Use the provided grid space for drawings and calculations where needed.
A

Section 1: Basic Angle Calculations

Calculate the measures of various angles and apply basic angle properties.
1.
1. In a triangle, two angles measure 35° and 65°. Find the third angle.
[3 marks]
2.
2. In a straight line, two angles are 120° and ? (the other angle). Find the unknown angle.
[3 marks]
3.
3. Which of the following is a right angle?
[2 marks]
A60°
B90°
C120°
D45°
4.
4. Two supplementary angles add up to 180°. If one angle is 110°, what is the other?
[3 marks]
5.
5. Draw a right angle and label it. Measure the angle to verify.
[3 marks]
B

Section 2: Angles in Parallel Lines and Transversals

Explore angles formed when a transversal crosses parallel lines.
1.
6. Two parallel lines are cut by a transversal. If one of the alternate interior angles measures 70°, what is the measure of the other?
[3 marks]
2.
7. When a transversal crosses parallel lines, the corresponding angles are ___.
[2 marks]
AEqual
BComplementary
CSupplementary
DComplementary or supplementary
3.
8. In the diagram (draw parallel lines with a transversal), if one alternate interior angle is 45°, find the corresponding angle.
[3 marks]
4.
9. Draw two parallel lines and a transversal. Label the alternate interior angles and measure them.
[3 marks]
5.
10. If one of the angles formed when a transversal crosses two parallel lines is 110°, find the corresponding angle.
[3 marks]
C

Section 3: Finding Unknown Angles

Solve for unknown angles using properties of supplementary, complementary, and vertical angles.
1.
11. Vertical angles are ___.
[2 marks]
AEqual
BSupplementary
CComplementary
DAdjacent
2.
12. In a triangle, two angles are 50° and 60°. Find the third angle.
[3 marks]
3.
13. In a quadrilateral, one angle is 110°, and the other three angles are equal. Find the measure of each of the other three angles.
[3 marks]
4.
14. Draw a triangle with angles measuring 40° and 70°. Label the third angle.
[3 marks]
5.
15. A triangle has one angle of 90° and another of 45°. Find the third angle.
[3 marks]
D

Section 4: Multiple Choice and Conceptual Questions

Test your understanding of angle concepts with multiple-choice questions.
1.
16. Which of these sets of angles are supplementary?
[2 marks]
A80° and 80°
B90° and 90°
C110° and 70°
D60° and 60°
2.
17. When two lines are cut by a transversal, the angles on the same side of the transversal and inside the lines are called ___.
[2 marks]
ACorresponding angles
BAlternate interior angles
CSame side interior angles
DVertical angles
3.
18. Draw two intersecting lines and identify the vertical angles. Measure them if possible.
[2 marks]
4.
19. What is the sum of angles in a triangle?
[2 marks]
A180°
B90°
C360°
D270°
5.
20. If two angles are complementary, what is their total measure?
[2 marks]
A90°
B180°
C45°
D60°

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Details

Created
4/19/2025
Updated
12/29/2025
Type
worksheet