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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.

For more details refer the link mentioned below.

Another Answer:-

Angles on a straight line add up to 180 degrees and so 180-exterior angle = interior angle

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Q: How do you use the exterior angles of a triangle to find interior angle measurements?
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Related questions

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 the sum of exterior angles in a triangle?

Exterior angles: 360 degrees Interior angles: 180 degrees


What is the exterior angles of a regular triangle?

The sum of the interior angles of any 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 angles of a triangle that are not adjacent to a given exterior angle?

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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.


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?

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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


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