Question

the measure of an ____ angle of a triangle is equal to sum of its remote interior angles ​

Answer 1

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The measure of an exterior angle of a triangle is equal to sum of its remote interior angles...

Answer 2

The measure of an exterior angle of a triangle is equal to the sum of its remote interior angles ​

Step-by-step explanation:

• The exterior angles are defined as the angles formed between the side of the polygon and the extended side of the polygon.  

• The exterior angle theorem states that when the side of a triangle is stretched, the resulting exterior angle is equal to the sum of the measurements of the two opposite interior angles of the triangle.  

• The theorem can be used to find the magnitude of an unknown angle in a triangle.  

• To use the theorem first we need to identify the exterior angle and then the two distal interior angles relative to the triangle.

The common characteristics of the angles of a triangle:

• A triangle has $3$ internal angles, which are always up to $180$ degrees.  
• It has $6$ exterior angles and this theorem is applied to each of the exterior angles.  
• The exterior angle is complementary to the nearest interior angle because they form a linear pair of angles.