For any regular polygon with number of sides n, the sum of the internal angles is equal to (n - 2) x 180. Therefore, the number of sides of a shape the sum of whose internal angles are equal to 900 is equal to (n - 2) x 180 = 900, therefore, n = (900 / 180) + 2 = 7.
The number of sides the shape will have is 7, making it a heptagon (also known as a septagon). It is not necessarily regular however, because although the angles in a regular heptagon would add to 900 degrees, an irregular heptagon would also add to this number.
Total of interior angles of any n-sided polygon is 180n - 360 degrees, usually expressed as "2n - 4 right angles". For n = 5 formula gives 900 - 360 ie 540 degrees.
The interior angles of a heptagon add up to 900 degrees
The 7 interior angles add up to 900 degrees and each interior angle is 900/7
Suppose the interior angle is x degrees. Then the exterior angle is 180 - x degrees. x = 5*(180-x) = 900 - 5x So 6x = 900 so that x = 150 degrees. So exterior angle = 30 degrees. If the polygon has n sides (and n angles) the sum of its exterior angles is 30*n But the exterior angles of a polygon add to 360 degrees So 30*n = 360 so that n = 12. ANSWER: 12 sides.
Exterior angles add up to 360 degrees Interior angles add up to 900 degrees
7
If the sum of the interior angles = 900 degrees, then it is a Heptagon and has seven sides. =] -ray
To answer this question it has to be assumed that it is a regular polygon ie with equal angles. Sum of the interior angles = (7-2)*180 = 5*180 = 900 degrees So each interior angle = 900/7 = 128.57 degrees.
The interior angles of a 7 sided polygon add up to 900 degrees
We can use a formula to find the sum of the interior angles of any polygon. In this formula, the letter n stands for the number of sides, or angles, that the polygon has.sum of angles = (n - 2)180°Substituting in 900 for the sum of the interior angles...900 = (n-2) * 180divide both sides by 1805 = n - 2add 2 to both sides7 = nThis is a seven sided Polygon. In geometry, a heptagon (or septagon) is a polygon with seven sides and seven angles.
Sum of interior angles of a polygon = (2n - 4)right angles 1260 = (2n - 4) x 90 1260 = 180n - 360 900 = 180n n = 5, it is a pentagon
A heptagon is a seven-sided polygon. It has seven interior angles. If it is a Regular polygon, each interior angle measures approximately 128.57 degrees, to a total of 900 degrees.
Heptagon (or 7-gon)
A heptagon is a 7 sided polygon whose 7 interior angles add up to 900 degrees.
It has (900+360)/180 = 7 sides
The interior angles of a 7 sided polygon add up to 900 degrees
A four-sided regular polygon (square or rectangle) has 900 interior angles.