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What is he sum of the angles of an obtuse triangle?
The sum of the interior angles on an Obtuse Triangle is 1800 . This is true of ALL triangles.
What is the sum of the measures of the exterior and interior angles of a convex 24-gon?
The sum of the exterior angles of any convex polygon is always 360 degrees. The sum of the interior angles of any convex n-gon is (n-2) * 180 degrees, because any convex n-gon can be represented as n-2 triangles, and the sum of the interior angles of a triangle is 180 degrees.
How do you find the sum of the measures of the angles of a quadrilateral?
I'm not sure if you mean interior or exterior angles, so I'll give you an answer for both.For interior angles:The sum of the measures of the *interior* angles of a quadrilateral is always 360 degrees. To understand why this is true, recall that the sum of the interior angles of a triangle is 180 degrees. Now, in any quadrilateral, we can draw a diagonal, splitting it into two triangles.So, the sum of the interior angles of the quadrilateral will be the sum of all of the interior angles of the two triangles, in other words, 2x180.In general, an n-gon can be divided into n-2 triangles, so the sum of the interior angles of an n-gon is 180x(n - 2) = 180xn - 360For exterior angles:The sum of the exterior angles of any closed, convex figure will be 360 degrees. So, if the quadrilateral is convex (isn't bent inwards) the sum of the exterior angles will be 360 as well.
How do you divide a polygon into triangles to find the sum of its interior angles?
If a regular polygon has n sides, then the number of triangles in that polygon is n - 2. thus, the sum of its interior angles is equal to (n - 2)180°.
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.
Sum of the interior angles of a circle?
Infinity! Because you can split circle into countless triangles!
What is the interior angle sum of a scalene triangle?
All triangles have interior angles that add up to be 180 degrees
What is the sum of the interior angles of a right triangle?
The sum of the interior angles of ANY triangle is 180 degrees.
What do equilateral triangles add up to?
if you're referring to the sum of the interior angles, it's 180 degrees, as is with any kind of triangle.
Why is the sum of the interior angles of a quadrilateral 360 degrees?
This result follows from the theorem that the sum of the angles of a triangle is 180 degrees. Drawing a diagonal in the quadrilateral splits it into two triangles and the angles of the triangles together combine to form the angles of the quadrilateral.
What is the sum of the interior angles of any triangle?
The sum of interior angles in a triangle MUST add up to 180 degrees, or it is not a triangle. This works for ALL TRIANGLES! Also there must be exactly 3 angles, or it is not a triangle, hence the name Triangle. Tri (3) Angles180 degrees.
Explain that the sum of interior angle is equal to quadrilateral 360?
Any quadrilateral may be split into two triangles; the sum of internal angles of any triangle is 180 degrees; so the sum of internal angles of a quadrilateral will then be the double of the sum of internal angles of a triangle: 180 x 2 = 360.
