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Is the exterior angle of a triangle always greater then either of its remote interior angles?
Yes, because it is equal to the sum of the two of them.
What is an exterior angle and a interior angle?
Interior is inside the triangle, box or whatever shape you have. Exterior angles are created by lines that extend past the confines of the shape. An example of an exterior angle would be the angle the table makes with a triangular prism sitting on top of it (should be greater than 90 degrees in this example). An interior angle angle is the angle created by the prism itself (Should be less than 90 degrees in this example).ha just kiddin dats not the right answer
Is an exterior angle of a right triangle always an obtuse angle?
If exterior angle makes linear pair with the right angle then exterior angle is 90o.If exterior angle makes linear pair with any of the other two angles then it is greater than 90o i.e. obtuse angle.Consider a right triangle ABC, right angled at B.We have: ∠B = 90o and ∠A + ∠C = 90o.Let us consider exterior angle be x.If exterior angle is supplement to B(i.e. ∠B + x = 180o or linear pair) then exterior angle(x) = ∠A + ∠C = 90o.If exterior angle is supplement to any of the other two angles then exterior angle is greater than 90o.Let us say x is supplement to ∠A then x = ∠B + ∠C = 90o + ∠C.And 90o + ∠C is greater than 90o so, x is obtuse angle.
Which is greater the measure of an exterior angle of a decagon or a pentagon?
Usually, the measure of an exterior angle of a pentagon is greater.
Is it possible to have a 181 degrees triangle?
No, it is not possible to have a triangle with an angle of 181 degrees. The sum of the interior angles of a triangle is always 180 degrees according to Euclidean geometry. Any triangle with an angle greater than 180 degrees would not be a valid geometric shape.
How do you use the exterior angles of a triangle to find interior angle measurements?
Theorem: An measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles.An exterior angle is formed by one side of a triangle and the extension of an adjacent side of the triangle.In the triangle at the right,
What is the exterior-angle theorem?
The exterior-angle theorem states that the measure of an exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles. This theorem helps in understanding the relationships between the angles of a triangle and is useful for solving various geometric problems. It emphasizes that the exterior angle is always greater than either of the interior angles it is not adjacent to.
Is it true that the exterior angle of a triangle is greater than any of each of its interior angles?
no
Is the exterior angle of a triangle always greater then either of its remote interior angles?
Yes, because it is equal to the sum of the two of them.
What are The measure of an exterior angle of a triangle is greater than the sum of the measures of the two opposite interior angles?
It is an indication of an error, or the fact that the triangle is not in the Euclidean plane but on a convex surface.
Which has a larger exterior andle a triangle or heptagon?
That depends on the type of triangle it is but if it's an equilateral triangle then its exterior angle is greater than that of a regular heptagon
How many sides a polygon have with an angle 30?
Smallest possible interior angle of regular polygon is 60 degrees (triangle). The greater the number of sides, the greater each interior angle. If exterior angle is 30 degrees, the polygon has 12 sides.
Which of these two regular polygons has the largest exterior angle heptagon triangle?
It is the regular triangle whose exterior angles are greater than the regular heptagon
How much greater is the measure of an interior angle than an exterior angle of a regular pentagon?
The sum of interior and exterior angle = 180. The interior angle of a regular pentagon = (n-2)x180 / n = (5-2)x180/5 = 108 The exterior angle = 180 - 108 = 72 The interior angle is 35 degrees greater than exterior angle.
What are some Geometry formulas involving exterior angles of an equilangular polygon?
There is the Exterior Angle Inequality Theorem: If an angle is an exterior angle of a triangle, then its measure is greater than the measure of either of its corresponding remote interior angles.i don't know if that relly helps, but that's all i got
What is an exterior angle and a interior angle?
Interior is inside the triangle, box or whatever shape you have. Exterior angles are created by lines that extend past the confines of the shape. An example of an exterior angle would be the angle the table makes with a triangular prism sitting on top of it (should be greater than 90 degrees in this example). An interior angle angle is the angle created by the prism itself (Should be less than 90 degrees in this example).ha just kiddin dats not the right answer
How much greater is the sum of the interior angles of a rombus than the sum of the angles of a right triangle?
interior angles of a rhombus = 360 interior angles of a right triangle =180 2 times as many
