What Is The Exterior Angle Of A Triangle

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What Is The Exterior Angle Of A Triangle An exterior angle of a triangle is equal to the sum of the opposite interior angles Every triangle has six exterior angles two at each vertex are equal in measure The exterior angles taken one at each vertex always sum up to 360 176 360 degree 360 176 An exterior angle is supplementary to its adjacent triangle interior angle

Aug 3 2023 nbsp 0183 32 What is the Exterior Angle of a Triangle The exterior angle of a triangle is the angle formed between one side and the extension of its adjacent side Shown below is the ABC where ACD is the exterior angle formed by the side AC and the extension of the side BC to D The exterior angle theorem states that when a triangle s side is extended the resultant exterior angle formed is equal to the sum of the measures of the two opposite interior angles of the triangle Learn about exterior angle theorem statement explanation proof and solved examples

What Is The Exterior Angle Of A Triangle

What Is The Exterior Angle Of A Triangle

What Is The Exterior Angle Of A Triangle
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Question Video Finding The Size Of An Exterior Angle Of A Triangle
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An exterior angle of a triangle is formed by extending one side of the triangle and its measure is equal to the sum of its two non adjacent interior angles playing a significant role in geometry for proving theorems solving problems and determining triangle congruence The exterior angles of a triangle are the angles that form a linear pair with the interior angles by extending the sides of a triangle The sum of the exterior angles of a triangle and any polygon is 360 degrees

From the figure we can observe that 1 2 and 3 are the exterior angles of triangle ABC We know that the sum of all the exterior angles of any polygon is equal to 360 176 Thus the sum of exterior angles of a triangle formula is stated as follows Sum The exterior angle theorem states that an exterior angle of a triangle equals the sum of two remote interior angles Learn the statement proof and examples

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If you extend any side of a triangle the angle that is quot outside quot of the triangle adjacent to an interior angle is called an exterior angle Each triangle has six exterior angles where two angles at each vertex are equal Exterior angle An exterior angle of a triangle is an angle formed by a side of the triangle and the line made by extending an adjacent side of the triangle

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What Is The Exterior Angle Of A Triangle - The exterior angles of a triangle are the angles that form a linear pair with the interior angles by extending the sides of a triangle The sum of the exterior angles of a triangle and any polygon is 360 degrees