I'm not sure if you could see what i could see. but for the practice set like the last one #3... how is angle DYE not vertical with AZB?

Because they do not share the same vertex

Are vertical angles always equal? Because in some practices they weren't, and I didn't get why.

Yes, vertical angles are always equal. Adjacent angles are not always equal though.

If I eat a pie then eat another pie how old is King charles

Which one? King Charles the first, second, or third? King Charles the third is seventy-four years (at the time I am writing this), the second was fifty-four when he died, and the first was forty-eight when he passed away. I would need to know when you ate the pies or at what date you would like to know the age of the former and/or present kings. Eating two pies consecutively after another changes everything though that leaves the time from around 5th Century BC to present time or beyond.

When ever I try to do this Use vertical angles to find a missing angle measure, it always becomes the same answer to the angle I already know. How do you do this question?

Indeed, verticle angles are always the same measure. The reason they wanted you to do the equation was so that you simply noticed this pattern and learned why this pattern always applies to vertical angles.

can u subtrackt it or like do angle - angle?

I'm not exactly sure what you mean but yes, you can subtract 180 minus the angle given to find the unknown angle. (when they are adjacent/supplementary) Same rule applies for complementary, except you use 90 degrees instead. However, you can't subtract the given angle first. You must use either use 90 degrees or 180. Hope this answers your question.

Main content

Geometry (all content)

Course: Geometry (all content) > Unit 2

Lesson 6: Vertical, complementary, and supplementary angles

Vertical angles review

Google Classroom

Review the basics of vertical angles, and try some practice problems.

Vertical angles

Vertical angles are angles opposite each other where two lines cross.

For example,

∠ A X D

and

∠ B X C

are vertical angles in the following diagram:

Want to learn more about vertical angles? Check out this video.

Practice set

Problem 1A

Are $∠ A P D$ ‍ and $∠ C P B$ ‍ vertical angles?
All segments that appear straight are straight.

Want to try more problems like this? Check out this exercise.

Use vertical angles to find a missing angle measure

Let's look at an example.

What is the measure of angle $x$ ‍?

First, let's find the measure of the pink angle:

The pink and blue angles add up to

180^{\circ}

because they are adjacent and form a straight line.

pink angle = 180^{\circ} - 121^{\circ} = 59^{\circ}

The pink and green angles also add up to

180^{\circ}

because they are adjacent and form a straight line too.

green angle = 180^{\circ} - 59^{\circ} = 121^{\circ}

The measure of angle $x = 121^{\circ}$ ‍.

Practice

Problem 2A

What is the measure of angle $x$ ‍?

^{\circ}

[Notice a pattern?]

Want to try more problems like this? Check out this exercise.

Want to join the conversation?

Sort by:

Lulu Lemonade!!!
Posted 7 years ago. Direct link to Lulu Lemonade!!!'s post “I'm not sure if you could...”
I'm not sure if you could see what i could see. but for the practice set like the last one #3... how is angle DYE not vertical with AZB?
Button navigates to signup pageComment on Lulu Lemonade!!!'s post “I'm not sure if you could...”
(13 votes)
Answer
- Serin :)
  Posted 4 years ago. Direct link to Serin :)'s post “Because they do not share...”
  Because they do not share the same vertex
  Button navigates to signup page
  (3 votes)
Marina Farag
Posted 5 years ago. Direct link to Marina Farag's post “Are vertical angles alway...”
Are vertical angles always equal? Because in some practices they weren't, and I didn't get why.
Button navigates to signup pageComment on Marina Farag's post “Are vertical angles alway...”
(7 votes)
Answer
- Dayla
  Posted 4 years ago. Direct link to Dayla's post “Yes, vertical angles are ...”
  Yes, vertical angles are always equal. Adjacent angles are not always equal though.
  Button navigates to signup page
  (7 votes)
ChristianV
Posted 10 months ago. Direct link to ChristianV's post “If I eat a pie then eat a...”
If I eat a pie then eat another pie how old is King charles
Button navigates to signup pageComment on ChristianV's post “If I eat a pie then eat a...”
(4 votes)
Answer
- Pie
  Posted 5 months ago. Direct link to Pie's post “Which one? King Charles t...”
  Which one? King Charles the first, second, or third? King Charles the third is seventy-four years (at the time I am writing this), the second was fifty-four when he died, and the first was forty-eight when he passed away. I would need to know when you ate the pies or at what date you would like to know the age of the former and/or present kings. Eating two pies consecutively after another changes everything though that leaves the time from around 5th Century BC to present time or beyond.
  Button navigates to signup page
  (3 votes)
Misato
Posted 5 years ago. Direct link to Misato's post “When ever I try to do thi...”
When ever I try to do this Use vertical angles to find a missing angle measure, it always becomes the same answer to the angle I already know. How do you do this question?
Button navigates to signup pageComment on Misato's post “When ever I try to do thi...”
(3 votes)
Answer
- Dayla
  Posted 4 years ago. Direct link to Dayla's post “Indeed, verticle angles a...”
  Indeed, verticle angles are always the same measure. The reason they wanted you to do the equation was so that you simply noticed this pattern and learned why this pattern always applies to vertical angles.
  Button navigates to signup page
  (2 votes)
20071440
Posted 4 years ago. Direct link to 20071440's post “how do you get the answer”
how do you get the answer
Button navigates to signup pageComment on 20071440's post “how do you get the answer”
(2 votes)
Answer
Landin
Posted 4 years ago. Direct link to Landin's post “can u subtrackt it or lik...”
can u subtrackt it or like do angle - angle?
Button navigates to signup pageButton navigates to signup page
(2 votes)
Answer
- Callista Starry
  Posted 3 years ago. Direct link to Callista Starry's post “I'm not exactly sure what...”
  I'm not exactly sure what you mean but yes, you can subtract 180 minus the angle given to find the unknown angle. (when they are adjacent/supplementary) Same rule applies for complementary, except you use 90 degrees instead. However, you can't subtract the given angle first. You must use either use 90 degrees or 180. Hope this answers your question.
  Button navigates to signup page
  (3 votes)
Bryan Gonzalez
Posted 4 years ago. Direct link to Bryan Gonzalez's post “its strange im not sure a...”
its strange im not sure about DYE and AZB its weird in my opinion because that are NOT vertical at all
Button navigates to signup pageButton navigates to signup page
(2 votes)
Answer
Mik
Posted 4 years ago. Direct link to Mik's post “How do you come up with t...”
How do you come up with the problems?
Button navigates to signup pageComment on Mik's post “How do you come up with t...”
(2 votes)
Answer
Natalia
Posted 4 years ago. Direct link to Natalia's post “I don't have any good que...”
I don't have any good questions.
Button navigates to signup pageButton navigates to signup page
(2 votes)
Answer
tenzin.jorden2006
Posted 5 years ago. Direct link to tenzin.jorden2006's post “The best so helpful!! tha...”
The best so helpful!! thank you
Button navigates to signup pageComment on tenzin.jorden2006's post “The best so helpful!! tha...”
(2 votes)
Answer