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What is the sum of interior and exterior angle of a polygon?
The sum of each pair of interior and exterior angles of a polygon is always 180 degrees.
What is The sum of the exterior angles of a docegon?
I think its this.... Find the interior. Then do 180 - the interior. That is the exterior. * * * * * The correct answer is that the sum of the exterior angles of any polygon is always 360 degrees.
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.
What is the sum of the measures of the interior angles of the regular polygon if each exterior measures 120?
Hint: in a regular polygon interior plus exterior = 180o, always.
Is the sum of the interior angles a triangle will always be 180 true or false?
True the 3 interior angles of any triangle always add up to 180 degrees
What is the measure of each exterior angle of a triangle?
Any exterior angle of a triangle always equals the sum of the two interior opposite angles.
Is An interior angle of a triangle and one of its adjacent exterior angles supplementary?
always
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.
What true statement about an exterior angle of a triangle?
An exterior angle of a triangle is equal to the sum of the two non-adjacent interior angles. This relationship is a direct consequence of the Triangle Sum Theorem, which states that the sum of the interior angles of a triangle is always 180 degrees. Consequently, the exterior angle provides valuable information about the interior angles of the triangle. Additionally, each exterior angle is formed by extending one side of the triangle, thus creating a linear pair with the adjacent interior angle.
What is the sum of exterior angles in a triangle?
The exterior sum of the angles of any polygon including a triangle is always 360 degrees.
What is the relationship between interior and exterior angles in triangles?
An interior angle of a triangle is the angle between two edges, measured inside the triangle. An exterior angle is formed by extending one of the edges outside the triangle, and measuring between that extension and the adjacent original side of the triangle. The sum of the interior angle and exterior angle at any given corner is always 1800 (which is Pi radians).
Are the exterior angles of a scalene triangle always obtuse?
No, they are not always obtuse, because a scalene triangle can also sometimes be an obtuse triangle (meaning that one interior angle is obtuse), making one exterior angle acute. Scalene triangles also can be a right triangles (meaning that one interior angle is a right angle), which would make an exterior angle a right angle. Then also they can be acute triangles, in this case all 3 exterior angles are obtuse.
The sum of the measures of two interior angles of a triangle is 261 What is the measure of the third exterior angle?
That's not possible.Two interior angles of a triangle can't add up to 261°, because all three of the interior anglesin any triangle always add up to 180°.
Is an exterior angle of a triangle always acute?
No :) Because one angle of the triangle is always acute and so the exterior has to be obtuse.
What is the sum of the angles in a triangle?
The Interior angles of a triangle add up to 180° The Exterior angles of a triangle (or any other polygon) add up to 360°.
What are the exterior angles on a triangle?
The 3 exterior angles of any triangle add up to 360 degrees
What is the sum of interior and exterior angle of a polygon?
The sum of each pair of interior and exterior angles of a polygon is always 180 degrees.
