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Which theorem states that the measure of an exterior angle in a triangle is the sum of its remote interior angle measures?
exterior angle theorem
The measure of an exterior angle of a triangle is equal to the sum of?
any other exterior angle of the triangle * * * * * No. The sum of the two opposite interior angles.
How much is a exterior angle?
An exterior angle can have any value provided the sum of all exterior angles is 360 degrees.
What is the sum of the exterior angle for a 15-gon?
The sum of the exterior angles of ANY polygon is 360 degrees.
What is the sum of the exterior angles of a 500-gon?
360 degrees. (All polygons have an exterior angle sum of 360 degrees.)
Which theorem states that the measure of an exterior angle in a triangle is the sum of its remote interior angle measures?
exterior angle theorem
What does the Polygon Exterior Angle Sum Theorem say?
Theorem 6-1-2; Polygon Exterior Angle Sum Theorem:The sum of the exterior angle measures, one angle at each vertex, of a convex polygon is 360 degrees.
What is exterior angle sum theorem polygon?
No matter how many sides a convex polygon has, the sum of its exterior angles is 360°.
What is the Exterior Angle Theorem for a Triangle?
An exterior angle of a triangle is equal in measure to the sum of the other two interior angles.
which of the following reasons can be used for statement 3 of the proof of the exterior angle theorem?
triangle sum theorem
What therom states The measure of each exterior angle of a triangle equals the sum of the measures of its two remote interior angles?
the exterior angle theorem
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.
How many degrees are int he sum of an interior angle and an exterior of a regulas hexagon?
formula for exterior angle=no.sides divided by 360. formula for interior angle=180 minus exterior angle.
What is the name of the angle that is formed by extending one side of a triangle?
Such is called an exterior angle. A useful theorem is that an exterior angle is equal to the sum of its non adjacent interior angles.
How do you find 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 non-adjacent interior angles. To find the exterior angle, extend one side of the triangle and measure the angle formed outside the triangle. You can then calculate this angle by adding the measures of the two opposite interior angles. This theorem is useful in solving problems involving triangle geometry and angle relationships.
Is the exterior angle sum theorem true for concave polygons?
Yes, if you interpret some of the exterior angles as having negative measure.
Why does a remote exterior angle equal to the sum to the opposite exterior angles?
In a triangle, the remote exterior angle is formed by extending one side of the triangle, while the opposite interior angles are those that do not share a vertex with the exterior angle. According to the exterior angle theorem, the measure of the remote exterior angle is equal to the sum of the measures of the two opposite interior angles. This relationship holds because the angles in a triangle sum up to 180 degrees, and the exterior angle effectively "completes" the linear pair with the adjacent interior angle, reinforcing the equality. Thus, the theorem demonstrates a fundamental property of triangles and their angles.
