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For any polygon: 180-interior angle = exterior angle and the exterior angles of any polygon add up to 360 degrees
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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
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.
Is the exterior angle sum theorem true for concave polygons?
Yes, if you interpret some of the exterior angles as having negative measure.
Does a nonconvex polygon have exterior angles equal to 360?
No, but the sum of the exterior angles is 360 degrees. But remember that the exterior angle related to any reflex angle will be negative.No, but the sum of the exterior angles is 360 degrees. But remember that the exterior angle related to any reflex angle will be negative.No, but the sum of the exterior angles is 360 degrees. But remember that the exterior angle related to any reflex angle will be negative.No, but the sum of the exterior angles is 360 degrees. But remember that the exterior angle related to any reflex angle will be negative.
Exterior angle of a triangle?
Exterior Angle Theorem Exterior angle of a triangle An exterior angle of a triangle is the angle formed by a side of the triangle and the extension of an adjacent side. In other words, it is the angle that is formed when you extend one of the sides of the triangle to create a new line, and then measure the angle between that new line and the adjacent side of the original triangle. Each triangle has three exterior angles, one at each vertex of the triangle. The measure of each exterior angle is equal to the sum of the measures of the two interior angles that are not adjacent to it. This is known as the Exterior Angle Theorem. For example, in the triangle below, the exterior angle at vertex C is equal to the sum of the measures of angles A and B So, angle ACB (the exterior angle at vertex C) is equal to the sum of angles A and B. Recomended for you: 𝕨𝕨𝕨.𝕕𝕚𝕘𝕚𝕤𝕥𝕠𝕣𝕖𝟚𝟜.𝕔𝕠𝕞/𝕣𝕖𝕕𝕚𝕣/𝟛𝟚𝟝𝟞𝟝𝟠/ℂ𝕠𝕝𝕝𝕖𝕟ℂ𝕠𝕒𝕝/
How many degrees are in the sum of an angle and an exterior angle of a regular polygon?
360 ________________________________________________ Sum of Interior Angles of a Polygon = 180 (n-2) Sum of Exterior Angles of a Polygon = 360 The sum of an angle and an exterior angle of a regular polygon is 360
