Ready to sharpen your geometry skills? Take our free angle quiz and discover how well you know acute, obtuse, and right angles! This fun and interactive geometry quiz is designed for learners of all levels - from curious students seeking extra math angles practice to enthusiastic educators looking for classroom resources. You'll tackle a variety of angle questions, test your understanding with an engaging angle test, and boost your confidence in no time. By the end of this angles quiz, you'll be able to identify angle types in any shape, reinforce key geometry principles, and feel ready for your next math adventure. Don't miss out on extra support: explore our angles for third graders activity and dive into intriguing geometry trivia for more challenges. Click below to start your angles quiz journey today!
Which of the following is an example of an acute angle?
45°
90°
120°
180°
An acute angle measures less than 90°. Among the options, only 45° is less than 90°, making it acute. Right angles measure exactly 90°, obtuse angles are between 90° and 180°, and straight angles are 180° in measurement. Learn more about acute angles.
Identify the obtuse angle.
100°
60°
90°
30°
An obtuse angle measures greater than 90° but less than 180°. The only option in that range is 100°, making it obtuse. Angles of 90° are right, less than 90° are acute, and 180° is straight. More on obtuse angles.
What is the measure of a right angle?
180°
90°
45°
60°
A right angle is defined as exactly 90°. It forms a perfect corner often seen in squares and rectangles. Angles measuring 180° are straight angles, and those less than 90° or greater than 90° have other classifications. Right angle details.
Two angles that sum to 90° are called?
Supplementary angles
Linear pair
Complementary angles
Vertical angles
Complementary angles add up to 90°. Supplementary angles sum to 180°, a linear pair is two adjacent angles whose non-common sides form a line, and vertical angles are opposite angles formed by intersecting lines. Learn about complementary angles.
Two angles whose measures add up to 180° are known as?
Complementary angles
Supplementary angles
Vertical angles
Alternate angles
Supplementary angles sum to 180°. Complementary angles sum to 90°, vertical angles are equal but not defined by sum, and alternate angles refer to positions when lines are cut by a transversal. More on supplementary angles.
If one angle of a complementary pair is 30°, what is the other angle?
60°
90°
120°
150°
Complementary angles add up to 90°. Subtracting 30° from 90° gives 60°. This ensures the pair sums correctly. Complementary angles explained.
If one angle measures 70°, what is its supplement?
110°
20°
30°
100°
Supplementary angles sum to 180°. Subtracting 70° from 180° yields 110°. The result completes the pair. Supplementary angle details.
On a straight line, one angle measures 135°. What is its adjacent angle?
45°
35°
55°
25°
Angles on a straight line sum to 180°. Subtracting 135° from 180° gives the adjacent angle of 45°. This property is known as a linear pair. Linear pair explained.
In a triangle, two angles measure 50° and 60°. What is the third angle?
70°
80°
90°
100°
The sum of angles in any triangle is 180°. Adding 50° and 60° gives 110°; subtracting from 180° leaves 70°. Thus the third angle is 70°. Triangle angle sum.
A quadrilateral has three right angles and one unknown angle. What is the measure of the fourth angle?
90°
180°
360°
270°
The total of interior angles in a quadrilateral is 360°. Three right angles sum to 270°, so the fourth angle is 360°?270°=90°. Quadrilateral angle sum.
Vertical angles are formed when two lines intersect. If one vertical angle measures 120°, what is the measure of its opposite vertical angle?
120°
60°
90°
180°
Vertical angles are always equal because they are opposite each other at the intersection of two lines. If one measures 120°, its opposite also measures 120°. Vertical angles details.
Two supplementary angles are 2x° and (3x - 30)°. Find x.
40
35
30
42
Supplementary angles sum to 180°, so 2x + (3x - 30) = 180. This simplifies to 5x - 30 = 180, then 5x = 210, giving x = 42. More on supplementary angles.
In a triangle, angles measure (2x + 5)°, (x + 10)°, and (3x - 15)°. What is x?
20
25
30
35
The angles sum to 180°, so (2x+5)+(x+10)+(3x-15)=180. That simplifies to 6x + 0 = 180, so x = 30. Triangle angle sum.
When two parallel lines are cut by a transversal, alternate interior angles are:
Equal
Supplementary
Complementary
Vertical
Alternate interior angles lie between parallel lines on opposite sides of the transversal and are always equal. This is a key property used in proofs and angle calculations. Parallel line angles.
What is the measure of an interior angle of a regular hexagon?
90°
120°
135°
150°
A regular hexagon has six sides; each interior angle measures (n?2)*180°/n = 4*180°/6 = 120°. All interior angles in a regular hexagon are equal. Regular polygon angles.
Three angles meet at a point and measure x°, 2x°, and 3x°. What is x?
30
45
60
90
Angles around a point sum to 360°, so x + 2x + 3x = 360°, giving 6x = 360° and x = 60°. This property applies to any set of angles surrounding a single point. Angles around a point.
A transversal intersects two perpendicular lines. If the angle between the transversal and the first line is 30°, what is the angle between the transversal and the second line?
30°
60°
90°
120°
Perpendicular lines form a 90° angle. If the transversal makes 30° with the first line, it must make 90°?30° = 60° with the perpendicular line. This is an application of complementary relationships. Complementary angles explained.
The sum of the interior angles of a polygon is (n?2)×180°. If the sum is 900°, how many sides does the polygon have?
5
6
7
8
Set (n?2)×180° = 900°; dividing gives n?2 = 5, so n = 7. A heptagon’s interior angles sum to 900°. This formula applies to any simple polygon. Polygon interior angles.
In triangle ABC, AD bisects angle A and divides BC into segments BD = 6 and DC = 9. If AB = 8, what is AC?
10
12
14
16
The Angle Bisector Theorem states that BD/DC = AB/AC. Here 6/9 = 8/AC, so AC = 8×(9/6) = 12. This theorem is a valuable tool in advanced geometry. Angle Bisector Theorem.
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Study Outcomes
Identify Angle Types -
Analyze various angles to correctly classify them as acute, right, obtuse, or reflex based on their degree measures.
Measure Angles Precisely -
Use a protractor to determine angle sizes in degrees and verify accuracy when answering angle test questions.
Analyze Angle Relationships -
Differentiate supplementary, complementary, and adjacent angles to solve geometry quiz problems with confidence.
Improve Accuracy Under Time Pressure -
Complete the angle quiz efficiently to strengthen your speed and precision during quick-paced exercises.
Evaluate Quiz Results to Pinpoint Gaps -
Review angles quiz outcomes to identify specific areas for targeted math angles practice and further study.
Apply Geometric Terminology Confidently -
Use correct mathematical terms when describing and solving problems in this engaging geometry quiz.
Cheat Sheet
Classification of Angles -
Review acute (<90°), right (=90°), obtuse (>90° and <180°), straight (180°), and reflex (>180°) angles so you can quickly tag them in any angle quiz. A simple memory trick: think "cute" baby for acute (small), "obese" for obtuse (wide), and the letter "L" for right angles.
Accurate Protractor Techniques -
Master the proper placement of the protractor's baseline on one ray and the center hole on the vertex to get precise readings, as recommended by the University of Cambridge geometry lab. Practice measuring various angles on printed worksheets or digital angles quiz tools, ensuring you read from the correct degree scale (inner or outer).
Triangle Angle Sum Theorem -
Recall that the interior angles of a triangle always sum to 180°, a principle established in Euclidean geometry and taught on Khan Academy. Use this formula to find missing angles: if two angles are 45° and 60°, then the third is 180°−(45°+60°)=75°; this technique often appears in geometry quizzes.
Complementary and Supplementary Angles -
Complementary angles add up to 90° and supplementary angles total 180°, key concepts in many angle quiz questions and standardized tests. Visualize them as puzzle pieces: two right-angle halves (45°+45°) form a right angle, while two obtuse-range pieces (100°+80°) make a straight line.
Degrees-to-Radians Conversion -
Use the formula radians = degrees×π/180 to switch between units; for example, 90°×π/180 simplifies to π/2 radians, as noted in MIT OpenCourseWare. Familiarity with this conversion boosts your confidence in quizzes that mix metric and imperial measures or introduce trigonometric functions.
