Get ready for 8th grade
- Find measure of vertical angles
- Finding missing angles
- Finding angle measures between intersecting lines
- Find measure of angles word problem
- Equation practice with complementary angles
- Equation practice with supplementary angles
- Equation practice with vertical angles
- Create equations to solve for missing angles
- Unknown angle problems (with algebra)
Solve this word problem to find the measure of angles. In this example you'll split up a pie (don't forget to share!). Created by Sal Khan.
Want to join the conversation?
- It seems like an equally valid answer would be that you cut yourself a 20 degree slice, and cut your brother a 10 degree slice. Where did the idea come from that these 3 slices would consume the entire remains of the pie?(94 votes)
- Couldn't you just do 180-30=150, then divide 150 by 3 which equals 50, and then multiply 50 times 2 to get 100? Wouldn't that be a lot simpler?(21 votes)
- yes but this strategy would only be valid with this specified problem(2 votes)
- I don't get any of this -_-(16 votes)
- I feel like bad for the mom in this situation. She gets such a tiny amount. couldn't you just split it into 3 equal slices? Your slice isn't even a slice, it's like 2 slices. lol(7 votes)
- Two angles are supplementary. The measure of the larger angle is
10 degrees more than the product of 4 and the measure of the smaller angle.
What is the measure of the larger angle in degrees?(2 votes)
- Let's call larger angle "x" and the smaller angle "y".
We can use the given information to create a system of equations:
x + y = 180 (this is because they are supplementary)
x = 4y + 10 (The measure of the larger angle is 10 degrees more than the product of 4 and the measure of the smaller angle.)
Solving this system:
4y + y + 10 = 180
5y + 10 = 180
5y = 170
y = 34˚
x + 34 = 180
x = 146˚(13 votes)
- Use an algebraic equation to find the measures of the two angles described below. Begin by letting x represent the degree measure of the angle's supplement.
The measure of the angle is nineteen times greater than its supplement.
what is the measure of the supplement?
can someone help me with this.(2 votes)
- can you help me with angle addition postulate(3 votes)
- The angle addition postulate states two angles that share a ray add up to make up a larger angle. This is useful to know because if you know two of the angles, you can figure out the third.
<ABC + <ABD= <CBD
You subtract 42 from 87 because you are removing one angle from the larger angle to find the other smaller angle.
I hope this helped!(2 votes)
- Why do you need that much pie?!?!?!?!?!?!(3 votes)
- ok....this is a 4 min 33 sec video. when i found it out in less than a minut. half pie = 180 deg. mum slice so remaining 150. it will be 3x because little bro slice = x your slice equal to double so 2x. then x=150/3. x= 50. little bro slice = x so 50 ,yours 2x so 50*2 = 100. done(3 votes)
- First: mum slice? little bro slice? whaaat?
Second: Sal has to explain things in detail to make sure that EVERYONE gets what he's saying.(2 votes)
- Everybody plzcheck the previous slide, the exercize! you will notice in the first q they are giving answer of 3x instead of x, on the 2nd one they are rounding of the no. 19 to 20, just for an easier answer, but, that way the calculations all go wrong and the answer, ofcourse is also wrong!(2 votes)
- I think that for the questions are in a different order for everyone so we can't be sure which problems you're talking about.
May you write them out for us so we can see?(2 votes)
There is a half an apple pie left. You want to eat twice what your little brother eats, but you also need to save a slice for your mom. You can cut her a slice that is 30 degrees. What is the measure of your piece of the pie in degrees? So to tackle this, we just have to remember a few things. We have to remember that the degrees in a circle-- so if we were to go all the way around a circle that that would be 360 degrees. But we only have half a pie here. And actually, let me draw a little bit differently. So if we had a whole pie-- so if we started here, and we had a whole pie, we went all the way around, that would be 360 degrees. But we only have a half pie. So we only have 180 degrees and let me do that in a color you're more likely to see. That's hard to see as well. We only have 180 degrees of pie left, but let's just keep that in mind and think about how we're going to split it between ourselves, our brother, and our mom. So let's define some variables. Let's let x be equal to the degree measure of my brother's pie or your little brother's pie. So this is degree measure of brother's pie. And then what would the amount of pie you eat be? Well, it says you eat twice what your little brother eats. So 2x would be equal what you eat, and it's really the degree measure of what you eat. And then how much does your mom eat? Well, it says you cut her slice that is 30 degrees. So your mom's going to get a 30 degree slice, going to get a slice of something like that. So the amount that your brother eats, x, plus the amount that you eat, plus the amount that your mom gets, plus 30 degrees, is going to be equal to this half pie. And remember, all of these are degree measures. So it's going to be equal to 180 degrees. And just to visualize it over here, let me draw it down here where it's easier to see it. We have half a pie that we're dealing with. We're going to save 30 degrees for our mom. So that's 30 degrees right over there. Your brother is going to eat some amount. So that is x. And then you're going to eat twice that amount. So that is 2x. x is the measure of this angle, and then 2x is a measure of that angle. So you see that 30 degrees plus x plus 2x, or x plus 2x plus 30 degrees, is going to be equal to 180 degrees. Now, we can simplify this. If we have one of something and then have another two of it, how much do we have now? Well, I now have three x's. So 1x plus 2x is going to be 3x. So I have 3x plus 30 degrees is going to be equal to, of course, 180 degrees. Now, to solve for x, we can subtract 30 degrees from both sides. So minus 30 degrees, minus 30 degrees. And I could have just written-- I could have all assumed that I'm doing it in degrees and then just done it at the end. I keep writing it so I'll just keep going with that. And then we are left with 3x equaling 180 degrees minus 30 degrees is equal to 150 degrees. And now we can just divide both sides by 3, and we're left with x equaling 150 divided by 3 is 50 degrees. x is equal to 50 degrees. Now, we have to be careful. x is not what they're asking for. They're asking for the measure of your piece of pie in degrees. x is the degree measure of your brother's piece of pie. What you eat is 2 times that. So if x is 50 degrees, 2 times that is going to be 100 degrees. So what is the measure of your piece of the pie in degrees? It is going to be 100 degrees. So if we draw our pie again, if we draw our half pie, you have 30 degrees for your mom. So that's 30 degrees for your mom. You have 50 degrees for your brother. And then you have twice that for yourself, 100 degrees.