If you're seeing this message, it means we're having trouble loading external resources on our website.

Хэрэв та вэб шүүлтүүртэй газар байгаа бол домэйн нэрийг *.kastatic.org and *.kasandbox.org блоклосон эсэхийг нягтална уу.

Үндсэн товъёог

# Angles in circles word problem

## Video transcript

if Arianna turns the stove dial 135 degrees to the right what setting will the dial be on so two very important things up here first she's turning the dial 135 degrees and which way is she turning the dial she's turning the dial to the right so here's our dial it's facing up this red dial right here facing up sort of like on a clock and we're going to be turning the dial to the right and how far to the right a hundred thirty five degrees so this dial will turn until it's reached a hundred thirty five degrees so how can we figure out if we start turning this dial when to stop when it's reached 135 degrees well one common way would be to use a protractor we could set up our protractor measure out 135 degrees but in this case we can't do that because we don't have a protractor so let's use some other information some other stuff we know about angles to see if we can solve this one thing I know one angle that we see a lot is a 90-degree angle and a 90-degree angle if we start up at the top like our dial and turn 90 degrees we're going to end up with an angle like this an angle where we can put a square in the middle and finish the square it's like a square angle so this is a 90 degree angle so coming over to our dial if we start at the top and we go 90 degrees so we start here at the top and we go 90 degrees we'd end up on the low setting 90 degrees but we're not going 90 we're going 135 which is more than 90 degrees so here's one clue we know we're going farther than the low setting we don't know how much farther we're definitely gonna go past the low setting another angle I could use to help me is a straight angle 180 degrees 180 degree angle again starts at the top like our knob is currently like dial it will go all the way around until we have a straight angle like this so again looking at our knob if we started at the top and we went around 180 degrees we would end up facing straight down at medium this would be a hundred eighty degrees so where does 135 fall well 135 falls somewhere in between 90 and 180 90 was not far enough of a turn and 180 was too far of a turn so we want something in the middle and what setting is in the middle of the 90 and the 180 right here in the middle of them is medium low so turning our stove 135 degrees to the right we'll set our stove to medium low