Find the sum of the angle measures in a polygon.?
917109
for a polygon with n sides, the sum of all interior angles would be 180*(n-2) degrees.\n\nSo a nonagon would be 180*(9-2) = 180*7 = 1260 degrees\nan 11-agon would be 180 * (11-2) = 1620 degrees
86738
The angles all add up to 180 degrees.\n\nIf you know the lengths of all the sides you can use the "Law of Tangents" to find all the angles.  This is advanced geometry and Trigonometry, so rather than type, I am including a link to a pretty good explanation.\n\nhttp://answers.google.com/answers/threadview?id=38131
450833
join the 2 pointz frm da arc vit da radius.measure out da value of da angle forned here.then substitute da values 4 this formula:  2*pie*radius/da angle u measured\n\nhappy solvin!
937438
180 degrees = π radian    ok!\n\nThe sum of the three angles of a triangle = 180 degree\nor, x + y + z = 180 deg.\nor, x + y = (180 - z)deg.\nor, x + y = 180(1 - z/180)deg.\nor, x + y = 180(1 - z/π) radian (pvd)
239138
well you could split up the thing into triangles. you know what the base is (1m) and the height is unknown, so lets call it h for now. so for each side, the area of the triangle is h/2 (bh/2 and b=1 so h/2). so for every 2 sides, the area is h. so the total area is 18h. \n\nso to find h, you have to use some trig. the equation to find the internal angles is (n-2)*180/n. cuz the sum of the internal angles is (n-2)*180. and then to find each angle, you have to divide by number of angles (which is same as number of sides). so in this case 34*180/36 = 170 degrees each angle. so now for each side, if you make a triangle with the center of the polygon, u should notice that the triangle is isosceles and the base angle is half of the side angle. \nas in the bottom 2 angles are equal and they are equal to 170/2. which is um 85. you can try this with any polygon if you dont believe it. try a square, (n-2)*180 = 2*180 = 360 is the sum of the internal angles. so each angle is 360/4 = 90 degrees. so if u connect each vertex to the center of the circle, you get 4 isosceles triangles and the base angles are 45 degrees each. \nso you have 85 degrees as the angle. so now if you split the isosceles triangle into 2 right angle triangles, you have 3 sides in each right angle triangle: the h, 0.5m and the line from the vertex to center. so you have the angle 85 degrees and you need h and you have the adjacent side = 0.5m. so you can use tan 85 = h/0.5 and you get h. \nso the total area is 18h. \n\ni really hope you understand that. its kinda hard to explain without drawing it out and showing you. if you need more help, then message me or somethin. later
418236
Formula for sum of internal angles is 180*(n-2)\n\n(n-2) * 180 = 1260\n\n(n-2) = 7\n\nn = 9\n\nANSWER : c) 9
443769
All you have to use is the fact that for any triangle, the measures of the three interior angles add to 180 degrees.  So if you have Triangles ABC and DEF, then you know:\nangleABC + angleBAC + angleBCA = 180 degrees, and\nangleDEF + angleEDF + angleEFD = 180 degrees.\n\nIf two angles are congruent, then they have the same measure in degrees.  So, if angleABC is congruent to angleDEF, and angleBAC is congruent to angleEDF, then:\nangleABC = angleDEF, and\nangleBAC = angleEDF.\n\nUsing substitution:\nangleABC + angleBAC + angleBCA = angleDEF + angleEDF + angleEFD\nangleDEF + angleBAC + angleBCA = angleDEF + angleEDF + angleEFD\nangleDEF + angleEDF + angleBCA = angleDEF + angleEDF + angleEFD.\n\nthen simplify by subtracting (angleDEF + angleEDF) from both sides:\n\nangleBCA = angleEFD.\n\ntherefore, the third angles are congruent.
463511
Use the double angle identities.
932014
The measure of the exterior angle of a triangle must be greater than the measure of either non-adjacent interior angle.\n\nThis is because the measures of the exterior angle and its adjacent interior angle must add up to 180 since they are a linear pair.  But the measures of the two non-adjacent interior angles must also add with the adjacent one to get 180 since the measures of the 3 angles of a triangle add up to 180.\n\nSo the exterior angle's measure equals the sum of the two non-adjacent interior angles, and therefore must be bigger than either one of them.\n\nGood luck, hope that helps.
945908
Hi Dear Ruth ; \n\n{ as you know Sum ( angles of trapezoid) = 360\nif ' a ' & ' b ' & ' c ' & ' d ' are angles of trapezoid so \na + b + c + d = 360 } ....\n\n▪ Step 1 \na = 6x - 4   , b = 5x + 1 , c = 4x  , d = 3x + 3\nas , a + b + c + d = 360 so ;\n6x - 4 + 5x + 1 + 4x + 3x + 3 = 360\n[ 6x + 5x + 4x + 3x  ] + [ -4 + 1 + 3 ] = 360\n18x + 0 = 360 \nx = 360 / 14\nx = 20 \n\n▪ Step 2\nas x = 20 \na = 6x - 4  ; 6(20) - 4 = 116 \nb = 5x + 1 ; 5(20) + 1 = 101\nc = 4x ; 4(20) = 80 \nd = 3x + 3 ; 3(20) + 3 = 63\nso we have ;\na = 116 ; b = 101 , c = 80 , d = 63 \n\nGood Luck dear ♣
27656
I used the acronym sohcahtoa to remeber that sin=opp/hyp cos=adjacent/hyp and tan=opp/adj, so you have a angle you want to measure the degree of that angle, using the lengths of the sides of the triangle opposite, adjacent and hypotenuse and then using your calculater you divide the lengths and hit the button sin-1, cos-1 or tan-1 key, also cot=1/tan, hope that helps
733210
You basically have 2 options. Use a protractor and measure them (The internal angles total 180 degrees).\n\nThe other option is using the trig functions (Sin, cos and tan), however you must have some info on the triangle eg. length of sides to apply any of these.
715400
Angle of line from horizontal position.
905611
If u r saying that u have three sides of a triangle as a,b,c\nAnd u want to determine angle b/w them, u can use the formula\ncosA=(b^2+c^2-a^2)/2bc where A is the angle formed by the sides b and c.similarly if B is the angle formed by a and c, it can be calculated as\ncosB=(a^2+c^2-b^2)/2ac\nonce u have calculated A and B, subtract their sum from 180, u will get third angle.\nRemember u will have to use inverse table for cos to find A and B
42250
what do you mean by angle ruler? protractor, or those triangle shaped ones? if u mean protractor, then you have to line up the point to the hole at the bottom middle hole. supposed to be one straight line that goes right or left. if it goes left, i think that you read the top row. if it goes right, the bottom row. hope that helps :)!
186903
the measure of the interior angle for a polygon is =(n-2)*(180)/n\n\nso you put 150 = (n-2)*(180)/n\nyou get (5/6)n - n + 2 = 0\nn = 12\n\nyou have 12 sides
312049
For any polygon, you take the number of sides, subtract 2, and then multiply by 180.\n\nEx.  Triangle  (3-2)180 = 180\n     Quadrilateral (4-2)180 = 360\n     Pentagon (5-2)180 = 540\n\nAny polygon with n sides  (n-2)*180\n\n\nthen, if it is a regular polygon, (all sides and angles congruent), then divide that number by the number of sides.\n\n( (n-2)*180 ) /n