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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 an exterior angle of a triangle?
It is: 180-interior angle = exterior angle
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.
Can the exterior angle of triangle be straight angle?
When any side of triangle is extended outwards then exterior angle is formed. Sum of this exterior angle and adjacent interior angle = 180o. If exterior angle = 180o(straight angle) then interior adjacent angle is 0o which is not possible. So exterior angle can't be straight angle.
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 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.
which of the following reasons can be used for statement 3 of the proof of the exterior angle theorem?
triangle sum theorem
Will the exterior angle theorem work for all triangles?
Yes, all plane triangle.
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/
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 do you solve for exterior angle of a triangle theorem?
To solve for the exterior angle of a triangle, use the Exterior Angle Theorem, which states that the measure of an exterior angle is equal to the sum of the measures of the two non-adjacent interior angles. To apply this, identify the exterior angle and the two corresponding interior angles. Simply add the measures of those two interior angles together to find the value of the exterior angle. For example, if the interior angles are 40° and 60°, the exterior angle would be 40° + 60° = 100°.
What is the two angles of a triangle that do not form a linear pair with a given exterior angle?
In a triangle, the two angles that do not form a linear pair with a given exterior angle are the two interior angles that are adjacent to the angle of the triangle that is extended to form the exterior angle. The exterior angle is equal to the sum of these two non-adjacent interior angles, according to the exterior angle theorem. Therefore, the two angles are not directly related to the exterior angle but contribute to the overall relationship within the triangle.
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.
Summarize the Exterior Angle Inequality Theorem in your own words?
The measure of an exterior angle of a triangle is more than the measure of the intersection of two straight lines.
What is an exterior angle of a triangle?
It is: 180-interior angle = exterior angle
What is a Exterior angle of a triangle?
It is: 180-interior angle = exterior angle
