3 Easy Steps for Answering What are Vertical Angles?

Get the free Vertical Angles worksheet and other resources for teaching & understanding what are Vertical Angles

Here’s how to Solve Vertical Angles

Vertical Angles are angles that are created by the intersection of two lines. When two lines intersect they form four angles. The four angles have two sets of Vertical Angles, which are the angles that are located diagonally across from each other. The angles that are located diagonally across from each other will be Vertical Angles and these angles will be congruent. This means that they will have the same angle measure. When angles are Vertical Angles they will have the same angle measure and will always be congruent.

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The Complete Vertical Angles Definition

So what is a vertical angle anyway? Vertical Angles will be angles that are made by two lines that cross. At the point where two lines meet they create four angles. The four angles have two pairs of Vertical Angles, which are the angles that are found opposite from one another. Vertical Angles examples will be always be equal. In other words, their angle measures will be the same.

3 Steps to easily answer any Vertical Angles Example Problem

Identify which angles are Vertical Angles.
You can locate Vertical Angles by seeing which angles are located diagonally across from each other at the intersection of two lines.
The Vertical Angles will have congruent angle measures.

Watch the video explanation of our Vertical Angles Worksheet

Watch our free video on how to solve for Vertical Angles. This video shows how to solve problems that are on our free Vertical Angle worksheet that you can get by submitting your email above.

Watch the free Vertical Angles video on YouTube here: Vertical Angles Video

Video Transcript:

This video is about answering the question what are vertical angles. You can get the vertical angles worksheets used in this video for free by clicking on the link in the description below.

The first part of the vertical angles definition is to identify that the two angles that are directly across from each other, so we’ll say angle x here and angle x here, these two angles are going to be vertical. And the other two angles are also vertical but they’re vertical with each other. When solving for vertical angles, the angles that are vertical are congruent. That means that they are equal. So in the case of this example if this angle right here was 45 degrees that means that this angle because it’s the vertical angle also has to be 45 degrees because it’s equal. Then if this angle was 135 degrees that means that this angle also has to be 135 degrees. Let’s do a couple practice problems on our vertical angles worksheet.

We already know that the vertical angle definition is that the two angles that are crossed from each other and are formed by two lines that cross they are going to be congruent. In the case of problem number one, we know that 140 degrees is directly across from x and because that they are directly across from each other that means that they’re vertical. If this one’s 140 degrees that means that x also has to be 140 degrees. We can do the same thing for angle y. So we don’t know angle y but we do know it’s vertical with 40 degrees and because they’re vertical that means that they’re exactly the same. This is 40 that means that angle y also has to be 40 degrees.

Number two on our vertical angles practice worksheet gives us two missing angles x and y and also that one angle is 55 degrees and the other angle is 125 degrees we know that angles directly across from each other are vertical so if this x is vertical with 125 degrees we know that x has to be 125 degrees and if this angle y which we do not know but is vertical with an angle that is 55 degrees that means that y also has to be 55 degrees hopefully this video helped you answer the question what are vertical angles.