Teut 2Math IB0PABCDEFGH 1 4 regular octagot_Find the following Write your ansKer: crFnSE Nate: LI 0 vertar i4aE the cater 0 the octagon HAE (an HAE)AE (ar HE)Farc R...

Find the given angle measure for regular octagon ABCDEFGH.
$\mathrm{m} \angle \mathrm{E} \mathrm{JH}$

So we have 30 degrees. Is the angle between the second a b on the tangent AP. So you can see in the diagram have drawn seeking KPN Tangent AP and indicated angle of 30 degrees. Also let go is the center who is the center then, obviously, Opie's perpendicular to baby, because the radius factor is always a particular color tangent on. Also, it's given that the measure off our teepee, directed by measure off BP because BP is smaller on BP's larger, so we'll take ratios. One is true. That means the larger one is to smaller. One is one, so one is to do that means if I assume this Angeles theater for TB, then the single should be building. If this is the time this is booted or what should be this angle hang guilty will be 3 60 minus treated up, right, because the total should be 3 60. Also, the voice Simmons will be because But I realize there was radius. Could be is also radius in quarterly drool. So you just carefully observed, called Little 80 Opie. There are three angles present in the court. Later on his 38 when is 90 one is beat up. So what should be dis angry? 3 60 Mine is off 38 plus 90 which is 1 28 plus theta. So basically 3 60 minus 100. So 3. 60 minus 1 20 eighties to 30 to minus speed up. When this is 2 32 minus data. What should be dis angry? Did I minus 52? Because it's a linear bill because all languages straight and 1 80 degrees And this should also be detail minus 52 right now use angle. Some property in triangle t will be so in tranquility will be What you get is in Frankie T will be What are the angles present in triangle t will be TD minus 52 theta minus 52. And what is this angle? This English 3 60 minus tweeted up. So did I. Minus 52 was down minus 52 because 3 60 minus 33 dot should be 1 80 Because it's a frankly so what we get now is to treat our ministry. Tita, bring 1 80 left hand side. There's 1 80 uh minus 50 to minus 52 is about zero. So 1 80 minus one or four is equality tha so? Tita is basically 76 degrees. So did I. 76 degrees, $50. 76 degrees. What his angle t will be. So let's find an guilty will be on duty. Will be is equal to 3 60 minus three and to 76 so to 60 minus 2 28 which is 1 32 degrees so and guilty will be is 1 32 degrees. So that means TV took our TV court TV substance 1 32 degrees at the center off the subject. So that means the measure of the R T V should be called Do 1 32 degrees. That's it, we're done.

In Probleble 24. We have a circular pressure table of them at 1.2 m. This is a circle over the diameter of 1.2 meter and it has a regular octagon inside it the octagon Is an eight sided polygon. Then we divide the circle into advert sees like this and connect with it mines. You want to calculate the perimeter of this doctor? The perimeter of the octagon can be calculated using the side of one length and then multiply it by it. How to get The length of one side. Let's connect the diameter here and make this drank. This is a right angled triangle because it connects three points three points on a circle and center. This is right And of course distance is 1.2 m. And by getting this angle we can calculate this side. Yes. How to get this angle. This angle is half the central angle here. The central angle can be calculated using and avoiding the total angle of a circle. Buy it because we have it cited bullet. Then the angle set here equals half the central and Then it equals half but deployed by 360° divided by eight. Then it equals 220 points. Sorry, 22.5°.. Let's get back to our triangle, right angled triangle in this triangle. We can find this using the sine function because Sign 22.5 equals the opposite, which is Divided by the High Buttons, which is 1.2. Then we can find s by multiplying 1.2. Boy, sign 22.5, then one side equals 0.46 m. Then to get the perimeter of the octagon we just want to employ is by it, it is, it equals, It multiplied by 4.46. It equals 3.68 m. And this is the final answer of our problem.

By the rectangles diagnosed here. Um, we know that the 10 the value of 10 in this question cuts in half to become fives of the anthros five because of the rectangles diagonal.

You're falsifying the angle measure for Terry T. J. So this is our angle right here are sort of k g j. And so sent out a force. We know that our central angle our central angle because he goes to throw him to 60 over on on this number, size or super under 68 which gets its 45 degrees so and this entire section of here's 45 degrees. Now we have to recognize that this isn't I saw Seles Triangle. So we know that our answer is equal to 1 80 minus 45 by the right to which will get US 135 divided by two, which will get us 67.5 degrees as our answer.