an equilateral triangle
In a regular polygon with 3 sides, which is a triangle, each angle measures 60 degrees. This is calculated using the formula for the interior angle of a regular polygon, which is ((n-2) \times 180^\circ / n), where (n) is the number of sides. For a triangle, (n = 3), so the calculation is ((3-2) \times 180^\circ / 3 = 60^\circ). Thus, all three angles in an equilateral triangle are equal to 60 degrees.
180 Two angles are 45 degrees and between them the third angle is 90 degrees.
To find the sum of the measures of the interior angles of a regular polygon with each exterior angle measuring 120 degrees, we first determine the number of sides in the polygon. The sum of exterior angles of any polygon is always 360 degrees, so the number of sides ( n ) can be calculated as ( n = \frac{360}{120} = 3 ). Since it is a triangle, the sum of the interior angles is given by the formula ( (n - 2) \times 180 ) degrees, which for a triangle (3 sides) is ( (3 - 2) \times 180 = 180 ) degrees. Thus, the sum of the measures of the interior angles is 180 degrees.
Left triangle.
S=180n-360
In a regular polygon with 3 sides, which is a triangle, each angle measures 60 degrees. This is calculated using the formula for the interior angle of a regular polygon, which is ((n-2) \times 180^\circ / n), where (n) is the number of sides. For a triangle, (n = 3), so the calculation is ((3-2) \times 180^\circ / 3 = 60^\circ). Thus, all three angles in an equilateral triangle are equal to 60 degrees.
Ther are 3 angle in a triangle. For an Equilateral triangle, all the angles are 60 degrees. However for any other triangle u need the formula (n-2)x180/n n= Number of sides.
180 Two angles are 45 degrees and between them the third angle is 90 degrees.
n is the smallest angle, n+1 is the next and n+2 is the third one. n+(n+1)+(n+2)=180 so 3n+3=180 3n=177 n=59 and then next two are 60 and 61.
To find the sum of the measures of the interior angles of a regular polygon with each exterior angle measuring 120 degrees, we first determine the number of sides in the polygon. The sum of exterior angles of any polygon is always 360 degrees, so the number of sides ( n ) can be calculated as ( n = \frac{360}{120} = 3 ). Since it is a triangle, the sum of the interior angles is given by the formula ( (n - 2) \times 180 ) degrees, which for a triangle (3 sides) is ( (3 - 2) \times 180 = 180 ) degrees. Thus, the sum of the measures of the interior angles is 180 degrees.
Left triangle.
The angle sum of a triangle is 180. 180(n mulitiply by 2) 180 mulitiply by n= answer
S=180n-360
Let side opposite the 60 degree angle be "N" Then N/17 = sin 60 degrees or N = 17 x sin 60 = (17/2) x Root of 3 = 8.5 x 1.732 = 14.722
60 N 8 E is Møsvatn Austfjell and the country is Norway.
Draw a line from each corner to a single point inside the polygon. For n sides you have n triangles. Each triangle has a total of 180 degrees, so that makes 180n degrees. but we want the angles around the polygon only, so we have to subtract the angles round the point in the middle. which is 360 degrees = 2x180 degrees. So the result is (n-2)x180 degrees. Check: for a rectangle, n=4 giving 360 degrees OK. For a triangle n=3, giving 180 degrees OK. For a straight line (there and back) n=2, result 0 degrees OK.
A triangle has 180 degrees, a rectangle has 360, a pentagon 540 etc. So the # of degrees = (number of sides - 2) * 180. So 3600 = 180 ( N - 2) means 20 = N - 2 so N = 22. A 22-sided polygon will have 3600 degrees.