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How do you prove opposite segments are equal to 180? - Answers

To prove that opposite segments (angles) are equal to 180 degrees, you can use the concept of supplementary angles. If two angles are formed by intersecting lines, the angles opposite each other (vertical angles) are equal, while the adjacent angles formed by the intersection are supplementary. Thus, if you take one angle and its adjacent angle, their sum is 180 degrees. Therefore, the opposite angles must also relate in such a way that they collectively sum to 180 degrees, reinforcing the idea that opposite segments are equal to 180 degrees.



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How do you prove opposite segments are equal to 180? - Answers

https://math.answers.com/math-and-arithmetic/How_do_you_prove_opposite_segments_are_equal_to_180

To prove that opposite segments (angles) are equal to 180 degrees, you can use the concept of supplementary angles. If two angles are formed by intersecting lines, the angles opposite each other (vertical angles) are equal, while the adjacent angles formed by the intersection are supplementary. Thus, if you take one angle and its adjacent angle, their sum is 180 degrees. Therefore, the opposite angles must also relate in such a way that they collectively sum to 180 degrees, reinforcing the idea that opposite segments are equal to 180 degrees.



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https://math.answers.com/math-and-arithmetic/How_do_you_prove_opposite_segments_are_equal_to_180

How do you prove opposite segments are equal to 180? - Answers

To prove that opposite segments (angles) are equal to 180 degrees, you can use the concept of supplementary angles. If two angles are formed by intersecting lines, the angles opposite each other (vertical angles) are equal, while the adjacent angles formed by the intersection are supplementary. Thus, if you take one angle and its adjacent angle, their sum is 180 degrees. Therefore, the opposite angles must also relate in such a way that they collectively sum to 180 degrees, reinforcing the idea that opposite segments are equal to 180 degrees.

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      To prove that opposite segments (angles) are equal to 180 degrees, you can use the concept of supplementary angles. If two angles are formed by intersecting lines, the angles opposite each other (vertical angles) are equal, while the adjacent angles formed by the intersection are supplementary. Thus, if you take one angle and its adjacent angle, their sum is 180 degrees. Therefore, the opposite angles must also relate in such a way that they collectively sum to 180 degrees, reinforcing the idea that opposite segments are equal to 180 degrees.
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