Theorem: An measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles.
An exterior angle is formed by one side of a triangle and the extension of an adjacent side of the triangle.In the triangle at the right, <4 is an exterior angle.
The theorem above states that if <4 is an exterior angle, its measure is equal to the sum of the measures of the 2 interior angles to which it is not adjacent, namely, <2 and <3.
Since the measure of an exterior angle equals the sum of its two non-adjacent interior angles, the exterior angle is also greater than either of the individual non-adjacent interior angles.
Theorem: The measure of an exterior angle of a triangle is greater than either of its two non-adjacent interior angles.
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Another Answer:-
Angles on a straight line add up to 180 degrees and so 180-exterior angle = interior angle
Actually, no. The sum of the exterior angles of a triangle is 360 degrees. The sum of the interior angles of a triangle is 180 degrees.
The pairs of exterior angles of a triangle form adjacent angles with the interior angles of the triangle. Specifically, each exterior angle is supplementary to the interior angle at its corresponding vertex, meaning they add up to 180 degrees. Additionally, the exterior angles of a triangle are equal to the sum of the two opposite interior angles, establishing a relationship among them.
The exterior angle of a triangle is equal to the sum of the two opposite interior angles. So if a triangle had points A, B and C: The exterior angle at B would equal the sum of interior angles at A and C. Similarly, the exterior angle at C would equal the sum of interior angles at A and B And the the exterior angle at A would equal the sum of interior angles at C and B.
Remote interior angles are the angles that are not adjacent to a given exterior angle but are inside the triangle. For each exterior angle of a triangle, there are two remote interior angles. The sum of these remote interior angles is equal to the measure of the exterior angle. Thus, if you have a specific exterior angle, you can identify the two corresponding remote interior angles.
The sum of all the interior angles of a triangle is 180 degrees while the sum of the exterior angles is 360. you can calculate for the measurements of the interior angles of a polygon by using the formula S=(n-2)(180) where n is the number of sides
Interior Angles of a Triangle: 60 Exterior Angles of a Triangle: 120 Interior Angles of a Heptagon 128 (approx) Exterior Angles of A Heptagon 52 (approx) Answer: Triangle
Actually, no. The sum of the exterior angles of a triangle is 360 degrees. The sum of the interior angles of a triangle is 180 degrees.
The interior angles of a triangle add up to 180 degrees. The exterior angles of a triangle add up to 360 degrees.
The pairs of exterior angles of a triangle form adjacent angles with the interior angles of the triangle. Specifically, each exterior angle is supplementary to the interior angle at its corresponding vertex, meaning they add up to 180 degrees. Additionally, the exterior angles of a triangle are equal to the sum of the two opposite interior angles, establishing a relationship among them.
The exterior angle of a triangle is equal to the sum of the two opposite interior angles. So if a triangle had points A, B and C: The exterior angle at B would equal the sum of interior angles at A and C. Similarly, the exterior angle at C would equal the sum of interior angles at A and B And the the exterior angle at A would equal the sum of interior angles at C and B.
Remote interior angles are the angles that are not adjacent to a given exterior angle but are inside the triangle. For each exterior angle of a triangle, there are two remote interior angles. The sum of these remote interior angles is equal to the measure of the exterior angle. Thus, if you have a specific exterior angle, you can identify the two corresponding remote interior angles.
The sum of all the interior angles of a triangle is 180 degrees while the sum of the exterior angles is 360. you can calculate for the measurements of the interior angles of a polygon by using the formula S=(n-2)(180) where n is the number of sides
The sum of the interior angles of any triangle is 180 degrees.
The exterior sum of the angles of any polygon including a triangle is always 360 degrees.
They are all 60 degrees.
A triangle has 3 interior angles that add up to 180 degrees and 3 exterior angles that add up to 360 degrees
In a triangle, each exterior angle is equal to the sum of the two opposite interior angles.