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How do you use the exterior angles of a triangle to find interior angle measurements?
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
What else can I help you with?
Does exterior angle of a triangle equals the sum of the interior angles?
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.
What is relationship between exterior angles and opposite interior angles of a triangle?
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.
The sum of all the angles of a triangle?
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 measure of an exterior angle of a triangle is120 degrees the interior angles that are not adjacent to this exterior angle are congruent find the measure of the interior angles of the triangle?
They are all 60 degrees.
What is the relationship between exterior and opposite interior angles?
In a triangle, each exterior angle is equal to the sum of the two opposite interior angles.
Which polygon has the larger exterior angle triangle or heptagon?
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
Does exterior angle of a triangle equals the sum of the interior angles?
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.
What do the interior angles of a triangle add up to and what do the exterior angles add up to?
The interior angles of a triangle add up to 180 degrees. The exterior angles of a triangle add up to 360 degrees.
What is relationship between exterior angles and opposite interior angles of a triangle?
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.
The sum of all the angles of a triangle?
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
What is the exterior angles of a regular triangle?
The sum of the interior angles of any triangle is 180 degrees.
What is the sum of exterior angles in a triangle?
The exterior sum of the angles of any polygon including a triangle is always 360 degrees.
The measure of an exterior angle of a triangle is120 degrees the interior angles that are not adjacent to this exterior angle are congruent find the measure of the interior angles of the triangle?
They are all 60 degrees.
The angles of a triangle that are not adjacent to a given exterior angle?
Remote interior angles
Which regular polygon's interior angles are half that of its exterior angles?
An equilateral triangle.
What is the relationship between exterior and opposite interior angles?
In a triangle, each exterior angle is equal to the sum of the two opposite interior angles.
How many remote interior angles are there for each exterior angle in a triangle?
A triangle has 3 interior angles that add up to 180 degrees and 3 exterior angles that add up to 360 degrees
