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Opposite angles do not have common ______
Answers
Answer:
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Step-by-step explanation:
Learn about opposite angles, the angles that only share a vertex when two lines intersect. Discover other names for these angles, such as vertical angles. Finally, explore the properties of these angles, such as their congruent measurements. Updated: 12/22/2021
Opposite Angles
Your teacher gives you an assignment to draw and build a model city. You are very excited and have even picked out a name,''NaeNaeville.'' When you begin drawing the intersection of 'Whip Boulevard' and 'Silento Lane,' you look at the angles you have just created with the intersection of the two roads and become curious about these angles. You put your project on hold while you investigate these angles further.
Intersecting roads with opposite angles
intersecting road with opposite angles
The first thing you learn in your research is that when two lines intersect, they create opposite angles, which are angles that are opposite one another when two lines cross. But wait! That's not all! Not only do they create opposite angles, the intersection of two lines actually creates two sets of opposite angles. So, in our intersecting roads image, angles 'a' and 'b' are opposite, and angles 'c' and 'd' are opposite. You also learn that another name for opposite angles is vertical angles because the two angles share the same vertex or corner.
Most importantly, you learn that opposite angles are congruent angles, meaning they have the same angle degrees. To repeat, angles that are opposite, have the same angle measurements! What? Yes, it's true! The measure of angles 'a' and 'b' are the same, and the measures of angles 'c' and 'd' are the same! How cool is that?
Answer:
If two line segments or lines intersect with each other, then a pair of angles are said to be vertically opposite angles, if they have a common vertex and no common arm.