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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
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
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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- og:descriptionTo 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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