Played times. Print Share Edit Delete. Live Game Live. Finish Editing. This quiz is incomplete! To play this quiz, please finish editing it. Delete Quiz. Question 1. Solve for x. Find the measure of the indicated angle. Angle 3 and angle 1 are corresponding angles.

Angle 3 and angle are alternate interior angles. Angle 6 and angle 5 are same side interior angles. Name the angle relationship. Name the alternate interior angle to angle 3.

What angle pair is pictured? Alternate Interior Angles. Find C. What are supplementary angles? Angles that are equal to each other. Angles that are opposite of each other when lines intersect. What are complementary angles?In this lesson, you will extend your knowledge of different types of angles to learning about relationships among pairs of angles. You will also learn to write and solve equations that will allow you to find the measure of unknown angles in different figures composed of angles.

We will start out with a quick review of basic angles. Remember that angles are formed by two rays with a common endpoint vertex. It is important to remember that when naming angles, the vertex always goes in the middle.

If you need a bit more review for angle classifications, please watch the following video. Once you have seen how to name and classify angles, we will move forward to angle pairs. Watch the video on classifying angles.

In earlier years, you learned how to recognize right angles, obtuse angles, acute angles, and straight angles. How can you use the idea of a right angle to help you identify an acute angle? If the opening of an angle is smaller than the opening of a right angle, it is acute. The same goes for an obtuse angle. This is an angle that measures more than 90 but less than If the opening of an angle is larger than the opening of a right angle, but smaller than the opening of a straight angle, the angle is obtuse.

In the examples below, angles a and b are adjacent angles. The image below shows two complementary angles. Like complementary angles, these angle pairs do not have to be adjacent.

You can set up an equation to read:. The measure of angle B. The measure of angle D.

You can also use diagrams to find unknown angle measures in complementary and supplementary angles. The measure of. Take a look at the video lesson to see examples of complementary and supplementary angles. Now, practice what you have learned about adjacent, complementary, and supplementary angles using the following diagram. Name an angle that is supplementary to. We have learned about angle pairs. Now, let us go a bit deeper and learn to use line and angle relationships to solve problems with figures.

First of all, we know that adjacent angles have a common vertex and a common ray. Search Search for:. Let us look at some of the relationships that are common among angles.

Here are some basic word problems that we can solve without diagrams. Create an equation to solve for x.Played times. Print Share Edit Delete. Live Game Live. Finish Editing. This quiz is incomplete! To play this quiz, please finish editing it. Delete Quiz. Question 1.

Which is a pair of corresponding angles? Which is a pair of alternate interior angles? What is the relationship of the Angles. What is the Angle Relationship?

What is the angle relationship? What is the Angle Relationship. What angle pair is pictured? Alternate Interior Angles. Name the angle relationship. Name a pair of alternate exterior angles. Name the alternate interior angle to angle 3. In the diagram, which of the following statements are false? Angle A and C are Angle Q and B areIf you're seeing this message, it means we're having trouble loading external resources on our website.

To log in and use all the features of Khan Academy, please enable JavaScript in your browser. Donate Login Sign up Search for courses, skills, and videos. Math Geometry all content Angles Vertical, complementary, and supplementary angles. Practice: Identifying supplementary, complementary, and vertical angles. Practice: Complementary and supplementary angles visual. Practice: Complementary and supplementary angles no visual. Complementary and supplementary angles review.

Practice: Vertical angles. Angle relationships example. Vertical angles are congruent proof. Next lesson. Current timeTotal duration Google Classroom Facebook Twitter. Video transcript We're asked to name an angle adjacent to angle BGD. So angle BGD, let's see if we can pick it out. So here is B, here is G, and here is D, right over here. So angle BGD is this entire angle right over here.

So when we talk about adjacent angles, we're talking about an angle that has one of its rays in common. So you could do this angle right over here, angle EGD. Or you could go all the way out here, angle FGD. These last two sharing ray GD in common. So any one of these responses would satisfy the question of just naming an angle, just naming one.

Let's do this next one. Name an angle vertical to angle EGA. So this is this angle right over here. And the way you think about vertical angles is, imagine two lines crossing. So imagine two lines crossing, just like this. And they could literally be lines, and they're intersecting at a point. This is forming four angles, or you could imagine it's forming two sets of vertical angles. So if this is the angle that you care about, it's a vertical angle, it's the one on the opposite side of the intersection.

It's one of these angles that it is not adjacent to. So it would be this angle right over here. Actually, what we already highlighted in magenta right over here.

### Angle Relationships

So this is angle DGB. Which could also be called angle BGD. These are obviously both referring to this angle up here. Name an angle that forms a linear pair with the angle DFG.

So we'll put this in a new color. Angle DFG.If you enjoyed what you read here, create your account today and start earning FREE STEEM. Unfortunately i don't have much voting power, but i will be back and vote my followers. Register Help Remember Me. The time now is 01:07. All communications made available as part of this forum and any opinions, advice, statements, views or other information expressed in this forum are solely provided by, and the responsibility of, the person posting such communication and not of gersforum.

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## Angle relationships example

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**Angle Pair Relationships**

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