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Because all angles around a point add up to 360 degrees.
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∙ 13y ago
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What is the sum of the angles of a 14-gon?
Sum of exterior angles: 360 degrees Sum of interior angles: 2160
Why do you subtract 2 from n to find the sum of interior angles?
This has to do with the way in which the sum of the angles is derived. First you select a point inside the polygon and then join that point to each of the vertices. For a polygon with n sides, this gives rise to n triangles. The sum of the 3 angles of any triangle is 180 degrees. So the sum of the angles of all the triangles is n*180 degrees. Now, the "outer" angles of these triangles correspond to the interior angles of the polygon. But the sum also includes the angles formed arounf the central point. The sum of all the angles around this central point is 360 degrees. This is not part of the sum of the interior angles of the polygon and so must be subtracted. Thus, the interior angles of a polygon sum to n*180 - 360 degrees or 180*(n- 2) degrees.
What is the sum of measures of the angles in a parallelogram?
The sum of the four interior angles is 360 degrees.
Is the sum of a rectangle 360 degrees?
The sum of the interior angles of a rectangle is 360 degrees, but that is not the only sum possible.
What is the sum of the measure of the exterior angles of a quadrilateral?
The sum is two straight angles or 360 degrees.
Are the sum of the angles at a point 180 degrees?
The total sum of angles around a point are 360 degrees.
What is the sum of both angles 180?
If both angles are 180, their sum is 360!If both angles are 180, their sum is 360!If both angles are 180, their sum is 360!If both angles are 180, their sum is 360!
What is the sum of angles at a point is equal to how many degrees?
360 degrees.
What shape equals 360 degrees?
The exterior angles of polygons equal 360 degrees.
What is the sum of angles in a rhombus?
The sum of the interior angles is 360 and the sum of the exteriors is 360 also.
How can you use the fact that the sum of the angles on a straight line is 180 to explain why the angle at a point are 360?
Draw any straight line through the point. The sum of the angles at the point are the sums of the angles on each side of the line - which are known to be 180o. Thus: the sum of the angles at the point = the sum of the angles of each side of the line = 180o + 180o = 360o The sum of the a
Why the sum of all degrees is 360?
Because angles around a point add up to 360 degrees.
What is the sum of the measures of angles at a point?
It is 360 degrees or 2*pi radians.
Why is it that in a tessellation all of the angles that touch a given point must add up to 360 degrees?
The total angles around a point is 360 degrees. Since there can be no gaps or angles, all of the angles meeting at any vertex must sum to 360 degrees.
What is the sum of the angles in a quardrilateral?
-- The sum of the four exterior angles is 360 degrees. -- The sum of the four interior angles is also 360 degrees. -- So the sum of all the interior and exterior angles is 720 degrees.
If three angles of a quadrilateral measure 90 87 and 90 what is the measure of the fourth angle?
Calculate the fourth angle so that the sum of the angles is 360 degrees.Calculate the fourth angle so that the sum of the angles is 360 degrees.Calculate the fourth angle so that the sum of the angles is 360 degrees.Calculate the fourth angle so that the sum of the angles is 360 degrees.
What is sum of interior and exterior angles of a concave quadrilateral?
-- The sum of exterior angles of any polygon is 360 degrees.-- The sum of interior angles of any quadrilateral, no matter what shape, is 360 degrees.-- 360 + 360 = 720 degrees.
