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When two lines intersect each other, four angles are formed. Among these angles, there are two pairs of non-adjacent angles. These are called opposite angles, vertical angles or vertically opposite angles. These angles are equal in measure.
- Vertical Angles
Vertical angles theorem or vertically opposite angles...
- Vertical Angles
What makes opposite angles special is that they are equal in measure. This means that angle 1 and angle 3 have the same degree measurement, as do angle 2 and angle 4. Visually, opposite angles are formed by extending two sides of an “X” shape, with the intersection point at the center.
When two lines intersect, the opposite angles are called vertical angles, and vertical angles have equal measure. For example, Figure 10.40 shows two straight lines intersecting each other. One set of opposite angles shows angle markers; those angles have the same measure.
Example: a° and b° are vertically opposite angles. The interesting thing here is that vertically opposite angles are equal: a° = b° (in fact they are congruent angles)
- Vertical Angles Definition
- Vertical Angles Proof
- Topics Related to Vertical Angles
Vertical angles are a pair of non-adjacent angles formed by the intersection of two straight lines. In simple words, vertical angles are located across from one another in the corners of the "X" formed by two straight lines. They are also called vertically opposite angles as they are situated opposite to each other. Vertical angles theorem or verti...
The proof is simple and is based on straight angles. We already know that angles on a straight line add up to 180°. So in the above figure, ∠1 + ∠2 = 180° (Since they are a linear pair of angles) --------- (1) ∠1 +∠4 = 180° (Since they are a linear pair of angles) --------- (2) From equations (1) and (2), ∠1 + ∠2 = 180° = ∠1 +∠4. According to trans...
Check out some interesting articles related to vertical angles. 1. Angles 2. Alternate Angles 3. Alternate Interior Angles Theorem 4. Complementary Angles 5. Complementary Angle Calculator 6. Supplementary Angles 7. Geometry
When two lines intersect, the opposite angles are called vertical angles, and vertical angles have equal measure. For example, Figure 10.32 shows two straight lines intersecting each other. One set of opposite angles shows angle markers; those angles have the same measure.
Vertical angles are a pair of non-adjacent angles formed by the intersection of two straight lines and are opposite to each other. Vertically opposite angles are equal: prove the theorem at BYJU'S.
