by huel.euna
Angles are everywhere, from the corners of our rooms to the intersections of streets. Understanding vertical angle relationships is crucial for mastering geometry. This quiz will take you through a series of questions designed to test your knowledge and sharpen your skills. Good luck, and may your angles always be congruent!
We recommend that you do not leave the page that you are taking this quiz in. Stay honest 🙂
Vertical Angle Relationships Quiz Questions Overview
1. What are vertical angles?
Angles that are adjacent to each other
Angles that are opposite each other when two lines intersect
Angles that add up to 180 degrees
Angles that are supplementary
2. Which of the following is true about vertical angles?
They are always congruent
They are always complementary
They are always supplementary
They are always adjacent
3. If one of the vertical angles measures 45 degrees, what is the measure of the other vertical angle?
45 degrees
90 degrees
135 degrees
180 degrees
4. If two lines intersect and form one angle of 120 degrees, what is the measure of its vertical angle?
60 degrees
90 degrees
120 degrees
180 degrees
5. Which of the following pairs of angles are vertical angles?
Angles A and B in a triangle
Angles formed by a transversal intersecting two parallel lines
Angles opposite each other when two lines intersect
Adjacent angles in a parallelogram
6. If two vertical angles measure (3x + 15) degrees and (5x – 25) degrees, what is the value of x?
5
10
15
20
7. If two lines intersect and form one angle of 80 degrees, what is the measure of the adjacent angle?
80 degrees
100 degrees
180 degrees
90 degrees
8. If two vertical angles are represented by (2x + 10) degrees and (4x – 20) degrees, what is the measure of each angle?
40 degrees
50 degrees
60 degrees
70 degrees
9. Which of the following statements is false about vertical angles?
Vertical angles are always congruent
Vertical angles are always adjacent
Vertical angles are formed by intersecting lines
Vertical angles are equal in measure
10. If two vertical angles are given as (x + 30) degrees and (2x – 10) degrees, what is the value of x?
10
20
30
40
11. If two vertical angles are each 75 degrees, what is the measure of the adjacent angles?
75 degrees
105 degrees
180 degrees
90 degrees
12. If the measure of one vertical angle is represented by 3x degrees and the other by (x + 60) degrees, what is the value of x?
10
20
30
40
13. If two lines intersect and form angles of 110 degrees and 70 degrees, what is the measure of the vertical angle to the 110-degree angle?
70 degrees
90 degrees
110 degrees
180 degrees
14. Which of the following is a property of vertical angles?
They are always supplementary
They are always complementary
They are always congruent
They are always adjacent
We recommend that you do not leave the page that you are taking this quiz in. Stay honest 🙂
