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Geometry. The exterior angle of a triangle will always be greater than the two remote interior angles. In other words, the measure of the red angle is greater than that of the blue angle or the green angle.The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle. The exterior angle inequality theorem states that the measure of any exterior angle of a triangle is greater than either of the opposite interior angles.Which best describes the exterior angle inequality theorem? A. The measure of an exterior angle of a triangle is greater than the measure of either of its corresponding remote interior angles.
What is the exterior angle equality theorem?
The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle. The exterior angle inequality theorem states that the measure of any exterior angle of a triangle is greater than either of the opposite interior angles.
Which best describes the exterior angle inequality theorem?
Which best describes the exterior angle inequality theorem? A. The measure of an exterior angle of a triangle is greater than the measure of either of its corresponding remote interior angles.
Exterior Angle Inequality Theorem With Two Column Proofs – Geometry
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What is the definition of triangle inequality theorem?
triangle inequality, in Euclidean geometry, theorem that the sum of any two sides of a triangle is greater than or equal to the third side; in symbols, a + b ≥ c. In essence, the theorem states that the shortest distance between two points is a straight line.
How do you find an exterior angle?
The formula for calculating the size of an exterior angle is: exterior angle of a polygon = 360 ÷ number of sides.
How do you find the exterior angle of a triangle with variables?
The measure of an exterior angle (our w) of a triangle equals to the sum of the measures of the two remote interior angles (our x and y) of the triangle.
What is exterior angle geometry?
Definition of exterior angle
1 : the angle between a side of a polygon and an extended adjacent side. 2 : an angle formed by a transversal as it cuts one of two lines and situated on the outside of the line.
EXTERIOR ANGLE INEQUALITY THEOREM || GRADE 8 MATHEMATICS Q4
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Theorems of Inequality – Video & Lesson Transcript | Study.com
The exterior angle inequality theorem states that the measure of any exterior angle of a triangle is greater than both of the non-adjacent …
Exterior Angle Theorem (video lessons, examples, step-by …
The Exterior Angle Theorem states that: An exterior angle of a triangle is equal to the sum of the two opposite interior angles. The following diagram shows the …
Inequalities in Triangles
Theorem: An exterior angle at A of triangle ABC is great than either of the (interior) angles B or C. Proof: For the proof, construct this figure. M is the …
Inequality Theorems of Triangles – Math 1 EOCT REVIEW
The Exterior Angle Inequality theorem states that an exterior angle of a triangle is greater than either of the remote interior angles.
What is the relationship between the measure of the exterior angle of a triangle and its remote interior angles?
The exterior angle theorem states that: The measure of an exterior angle of a triangle is supplementary to its adjacent interior angle. The sum of the remote interior angles must equal the measure of the exterior angle of the triangle.
What theorem states that the measure of an exterior angle of a triangle is greater than the measure of either interior angle?
The exterior angle theorem is Proposition 1.16 in Euclid’s Elements, which states that the measure of an exterior angle of a triangle is greater than either of the measures of the remote interior angles.
What are the 4 triangle inequality theorems?
The 3 properties of the triangle inequality theorem are: If the sum of any two sides is greater than the third, then the difference of any two sides will be less than the third. The sum of any two sides must be greater than the third side. The side opposite to a larger angle is the longest side in the triangle.
How does the triangle inequality theorem relate to angles?
Theorem 36: If two sides of a triangle are unequal, then the measures of the angles opposite these sides are unequal, and the greater angle is opposite the greater side.
Exterior Angle Inequality Theorem
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Which of the following is the statement of the triangle inequality theorem?
The sum of the lengths of any two sides of a triangle is greater than the length of the third side.
What is the sum of exterior angle of a triangle?
A triangle is a three-sided polygon with three sides, three vertices, and three edges. The exterior angle of a triangle is defined as the angle formed between one of its sides and its adjacent extended side. The sum of exterior angles of a triangle is equal to 360 degrees.
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