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What is vertically opposite angle ?
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Definition of Vertically Opposite Angles
Vertically opposite angles are the angles formed opposite each other when two lines intersect. Vertically opposite angles are always equal.
In the picture to the left, adegree and b∘degree are vertically opposite angles, so adegree=bdegree.
You're probably wondering why they're called "vertically opposite" angles when they aren't vertical at all. In this case, "vertically" is a reference to the vertex where the two lines cross. Another term for vertically opposite angles is "vertical angles".
FAQs on Definition of Vertically Opposite Angles - Class 8
| 1. What are vertically opposite angles? |  |
Ans. Vertically opposite angles are a pair of angles formed by two intersecting lines. They are opposite to each other when the two lines intersect and share the same vertex. In other words, they are on opposite sides of the intersection and are equal in measure.
| 2. How are vertically opposite angles formed? | |
Ans. Vertically opposite angles are formed when two lines intersect. At the point of intersection, four angles are created, with each pair of opposite angles being vertically opposite to each other. These angles share the same vertex but lie on opposite sides of the intersection.
| 3. What is the measure of vertically opposite angles? | |
Ans. The measure of vertically opposite angles is always equal. This means that if one angle measures x degrees, the other vertically opposite angle will also measure x degrees. Regardless of the size or orientation of the intersecting lines, the measure of vertically opposite angles remains the same.
| 4. What is the significance of vertically opposite angles? | |
Ans. Vertically opposite angles have several important properties and applications. Firstly, their equality is a fundamental property used in geometry proofs and calculations. Secondly, they help in identifying alternate angles, corresponding angles, and co-interior angles when multiple lines intersect. Lastly, their study is essential for understanding the properties of parallel lines and transversals.
| 5. Can vertically opposite angles be acute or obtuse? | |
Ans. Yes, vertically opposite angles can be acute, obtuse, or right angles. The measure of the angles depends on the orientation of the intersecting lines. If the lines form acute angles with each other, the vertically opposite angles will also be acute. Similarly, if the lines form obtuse angles, the vertically opposite angles will be obtuse.
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Dec 02, 2024 Last updated |
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