# Vertical Angles

#### Grade 7 Math Worksheets

**Vertical angles are formed when two lines intersect. They are the pair of opposite angles that are across from each other and have a common vertex**

Table of Contents:

- Vertical Angles
- Formula for Vertical Angles
- Solved Examples
- FAQs

**Personalized Online Tutoring**

## Vertical Angles - Grade 7 Math Worksheet PDF

This is a free worksheet with practice problems and answers. You can also work on it online.

Sign up with your email ID to access this free worksheet.

### "We really love eTutorWorld!"

*"We really love etutorworld!. **Anand S and Pooja are excellent math teachers and are quick to respond with requests to tutor on any math topic!" - Kieran Y (via TrustSpot.io)*

### "My daughter gets distracted easily"

*"My daughter gets distracted very easily and Ms. Medini and other teachers were patient with her and redirected her back to the courses.*

* With the help of Etutorworld, my daughter has been now selected in *

*the*

**Gifted and Talented Program**for the school district"*- Nivea Sharma (via TrustSpot.io)*

## Vertical Angles

Vertical angles are formed when two lines intersect. They are the pair of opposite angles that are across from each other and have a common vertex (the point where the two lines intersect).

Vertical angles are always congruent, meaning that they have the same measure. In other words, if angle A and angle B are vertical angles, then angle A is congruent to angle B.

Vertical angles are also sometimes called opposite angles or vertically opposite angles. An important property of vertical angles is that they are always equal in measure, no matter how the intersecting lines are oriented.

## Formula for Vertical Angles

There is no specific formula for vertical angles, but the key property of vertical angles is that they are always congruent.

This means that if we have two intersecting lines and we label the angles formed as A, B, C, and D (as shown in the diagram below), then we have the following relationships:

**Angle A is congruent to angle C**

**Angle B is congruent to angle D**

**Angle A + angle B = 180 degrees (because they form a straight line)**

**Angle C + angle D = 180 degrees (because they form a straight line)**

In summary, the formula for vertical angles is that they are always congruent to each other. Additionally, because vertical angles are formed by intersecting lines, we can use properties of lines and angles (such as the fact that angles on a straight line add up to 180 degrees) to find other relationships between them.

*“**There have been times when we booked them last minute, but the teachers have been extremely well-prepared and the help desk at etutorworld is very prompt. *

*Our kid is doing much better with a higher score.**”*

### 7th Grade Tutoring

eTutorWorld offers **Personalized Online Tutoring** for Math, Science, English, and Standardised Tests.

Our Tutoring Packs start at just under** $22.49 per hour**, and come with a moneyback guarantee.

**Schedule a FREE Trial Session**, and experience quality tutoring for yourself. (No credit card required.)

## Solved Examples

If angle 1 measures 75 degrees, what is the measure of angle 2?

Since angle 1 and angle 2 are vertical angles, they are congruent. Therefore, angle 2 also measures 75 degrees.

If angle A is supplementary to angle B, and angle C is vertical to angle B, what is the measure of angle C?

Since angles B and C are vertical angles, they are congruent. Therefore, angle C is supplementary to angle A, and their sum is 180 degrees. So, if angle A measures x degrees, hen angle C measures 180 degrees minus x (180 ° – x).

If angle P is complementary to angle Q, and angle R is vertical to angle Q, what is the measure of angle R?

Since angles Q and R are vertical angles, they are congruent. Therefore, if angle P measures x degrees, then angle Q measures 90 – x degrees (since they are complementary), and angle R also measures 90 – x degrees (because they are congruent).

If angle X is vertical to angle Y, and angle Y is vertical to angle Z, what is the relationship between angles X and Z?

Since angles X and Y are vertical angles, they are congruent. Similarly, angles Y and Z are vertical angles and are also congruent. Therefore, angles X and Z are congruent by transitive property of equality.

In summary, to find the measure or relationship between vertical angles, we can use the fact that they are always congruent to each other.

### Do You Stack Up Against the Best?

If you have 30 minutes, try our free diagnostics test and assess your skills.

## Vertical Angles FAQS

##### What is the difference between vertical angles and adjacent angles?

Vertical angles are formed when two lines intersect, and they are opposite angles that are across from each other. Adjacent angles, on the other hand, share a common side and vertex but do not overlap. In other words, adjacent angles are side-by-side, while vertical angles are across from each other.

##### How do you know if two angles are vertical angles?

Two angles are vertical angles if they are opposite angles that are across from each other and formed by the intersection of two lines. To identify vertical angles, look for pairs of angles that share a common vertex and are on opposite sides of the intersection of the two lines.

##### Can two angles be both vertical and adjacent?

No, two angles cannot be both vertical and adjacent. This is because vertical angles are opposite angles that are across from each other, while adjacent angles share a common side and vertex but do not overlap. Therefore, if two angles are adjacent, they cannot be vertical angles.

##### What is the measure of vertical angles when they are acute angles?

When vertical angles are acute angles (angles that measure less than 90 degrees), they are congruent and have the same measure as each other. This is true for all acute angles, regardless of their exact measure.

##### Can two obtuse angles be vertical angles?

Yes, two obtuse angles can be vertical angles. Vertical angles are formed by the intersection of two lines, so their angle measure does not depend on whether they are acute, right, or obtuse. As long as two angles are opposite angles that are across from each other and formed by the intersection of two lines, they are vertical angles and are congruent to each other.

**Gloria Mathew** writes on math topics for K-12. A trained writer and communicator, she makes math accessible and understandable to students at all levels. Her ability to explain complex math concepts with easy to understand examples helps students master math. LinkedIn

### Affordable Tutoring Now Starts at Just $22.49

eTutorWorld offers affordable one-on-one live tutoring over the web for Grades K-12. We are also a leading provider of Test Prep help for Standardized Tests (SCAT, CogAT, MAP, SSAT, SAT, ACT, ISEE, and AP).

What makes eTutorWorld stand apart are: flexibility in lesson scheduling, quality of hand-picked tutors, assignment of tutors based on academic counseling and diagnostic tests of each student, and our 100% money-back guarantee.

Whether you have never tried personalized online tutoring before or are looking for better tutors and flexibility at an affordable price point, schedule a **FREE TRIAL **Session with us today.

**There is no purchase obligation or credit card requirement*

## Grade 7 Science Worksheets

- Elements and Compounds
- Solar Energy
- Photosynthesis
- Electricity and Magnetism
- Law of conservation of energy
- Periodic table
- Properties of Matter
- Waves
- Energy Resources
- Weather and Climate
- Immune, Circulatory and Digestive Systems
- Organs in Multi-cellular Organism
- Sedimentary, Igneous, and Metamorphic Rocks
- Structure of the Earth
- Law of Conservation of Mass
- Physical and Chemical Changes
- Scientific Method
- Human Digestive System
- Environmental Science
- Renewable and Non-renewable energy Resources
- Characteristics of Living Organisms
- Life Science
- Earth and Space Science
- Solar Eclipse
- Heat Technology
- Newton’s Laws of Motions
- Physical Science
- Tools, Measurement and SI Units
- Earth Atmosphere
- Interactions of Living things
- The Earth Ecosystem
- Organelles in Plant and Animal cells
- Layers of the Earth
- Cycles in Nature

## Grade 7 Math Worksheets

- Fractions
- Linear equations word problems
- Statistics
- Properties of Parallel Line
- Finding slope from an equation
- Identifying Quadrilaterals
- Percent Change
- Properties of addition and multiplication
- Pythagorean Theorem
- Solving two step inequalities
- Symmetry
- Fractions to Decimals (New)
- Whole Number Exponents with Integer Bases (New)
- Adding and Subtracting Fractions (New)
- Integer Addition and Subtraction (New)
- Dividing Mixed Numbers (New)
- Basics of Coordinate Geometry (New)

## IN THE NEWS

Our mission is to provide high quality online tutoring services, using state of the art Internet technology, to school students worldwide.

**Online test prep and practice**

SCAT

SSAT

ISEE

PSAT

SAT

ACT

AP Exam

**Science Tutoring**

Physics Tutoring

Chemistry Tutoring

Biology Tutoring

**Math Tutoring**

Pre-Algebra Tutoring

Algebra Tutoring

Pre Calculus Tutoring

Calculus Tutoring

Geometry Tutoring

Trigonometry Tutoring

Statistics Tutoring

**Quick links**

Free Worksheets

Fact sheet

Sales Partner Opportunities

Parents

Passive Fundraising

Virtual Fundraising

Our Expert Tutors

Safe and Secure Tutoring

Interactive Online Tutoring

After School Tutoring

Elementary School Tutoring

Middle School Tutoring

High School Tutoring

Home Work Help

Math Tutors New York City

Press

©2022 eTutorWorld Terms of use Privacy Policy Site by Little Red Bird

©2022 eTutorWorld

Terms of use

Privacy Policy

Site by Little Red Bird