Grade 10 Geometry Worksheet: Angles
Mathematics
General
17 questions
~34 mins
1 views0 downloads
About This Worksheet
This medium level geometry worksheet is designed for grade 10 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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Grade 10 Geometry Worksheet: Angles
Subject: MathematicsGrade: General
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Grade 10 Geometry Worksheet: Angles
Mathematics
Instructions: Read each question carefully. For multiple-choice questions, select the best answer. For calculations, show your work clearly in the provided grid space. Use geometric reasoning and formulas where applicable.
A
Angles - Basic Concepts
Questions related to types of angles, angle relationships, and basic angle calculations.
1.
What is the measure of a supplementary pair of angles if one angle is 110°?
[2 marks]A110°
B180°
C90°
D70°
2.
Two angles are complementary. One angle measures 65°. What is the measure of the other angle?
[2 marks]A25°
B115°
C65°
D45°
3.
In the diagram below, angle A measures 40°, and angle B is 30°. Find the value of angle C, where angle C = 180° - (A + B).
[3 marks]4.
Identify whether the following angles are acute, right, or obtuse:
(a) 85°
(b) 90°
(c) 120°
[2 marks]A(a) Acute, (b) Right, (c) Obtuse
B(a) Obtuse, (b) Acute, (c) Right
C(a) Acute, (b) Right, (c) Obtuse
D(a) Right, (b) Right, (c) Acute
5.
If two angles are vertically opposite and measure 75°, what is the measure of each angle?
[2 marks]A105° and 105°
B75° and 105°
C75° and 75°
D60° and 120°
B
Angles in Various Shapes
Questions involving angles within triangles, quadrilaterals, and other polygons.
1.
In triangle ABC, angles A and B are 50° and 60° respectively. Find angle C.
[3 marks]2.
The sum of interior angles of a quadrilateral is:
[2 marks]A540°
B720°
C900°
D360°
3.
In a regular pentagon, each interior angle measures:
[3 marks]4.
In triangle DEF, if angle D = 40° and angle E = 70°, what is the measure of angle F?
[3 marks]C
Angles in Parallel Lines and Transversals
Questions to test understanding of alternate interior, corresponding, and vertically opposite angles.
1.
In the diagram with parallel lines cut by a transversal, alternate interior angles are:
[2 marks]ASupplementary
BComplementary
CRight angles
DEqual in measure
2.
In the figure, if angle 1 = 60°, what is the measure of the corresponding angle on the other parallel line?
[2 marks]A120°
B60°
C30°
D90°
3.
Given two parallel lines cut by a transversal, find the value of the unknown angle x if the other angle is 110°.
[3 marks]4.
In the diagram, angles 2 and 3 are supplementary. If angle 2 measures 85°, find angle 3.
[3 marks]D
Angles in Real-World Contexts
Application questions involving angles in real-life situations and diagrams.
1.
A ladder leans against a wall forming a 75° angle with the ground. What is the complement of this angle?
[2 marks]A75°
B105°
C15°
D85°
2.
In a street intersection, the angles formed by the intersecting roads are 90°, 45°, and x°. Find the measure of x°.
[3 marks]3.
A polygon has interior angles measuring 120°, 130°, 110°, and 100°. What is the measure of the fifth interior angle?
[3 marks]4.
Identify whether the angles formed by a pair of intersecting lines are vertical, adjacent, or supplementary angles.
[2 marks]AVertical angles
BAdjacent angles
CSupplementary angles
DAll of the above
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Details
- Created
- 5/31/2025
- Updated
- 12/31/2025
- Type
- worksheet