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on April 23, 2022

How is the triangle exterior angle theorem related to the triangle angle sum theorem?

Space and Astronomy


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.

Contents:

  • What can you say about the sum of an exterior angle of a triangle and its adjacent?
  • What is the relationship between the exterior angle of a triangle and its two remote interior angle?
  • How do you find the sum of the exterior angles of a triangle?
  • What does the triangle angle sum theorem tell us?
  • What is the exterior triangle theorem?

What can you say about the sum of an exterior angle of a triangle and its adjacent?

The sum of an exterior angle of a triangle and its adjacent angle is always 1800.

What is the relationship between the exterior angle of a triangle and its two remote interior angle?





An exterior angle of a triangle is equal to the sum of the two opposite interior angles. The sum of exterior angle and interior angle is equal to 180 degrees.

How do you find the sum of the exterior angles of a triangle?

Video quote: Correct so what do you notice here is that the angle why is that one. So we have angle X Y in C. Now that forms a full circle right so we know a full circle makes how much 360 degrees so you can see

What does the triangle angle sum theorem tell us?

The Triangle Sum Theorem states that the three interior angles of any triangle add up to 180 degrees.

What is the exterior triangle theorem?



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



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