what are veritically opposite angles? u will get 11p and i will make the best answer as brainliest.
Answers
Answer:
When two lines intersect each other, then the opposite angles, formed due to intersection are called vertical angles or vertically opposite angles. A pair of vertically opposite angles are always equal to each other. When two lines meet at a point in a plane, they are known as intersecting lines. When the lines do not meet at any point in a plane, they are called parallel lines. Learn about Intersecting Lines And Non-intersecting Lines here.
The given figure shows intersecting lines and parallel lines.
In the figure given above, the line segment AB¯¯¯¯¯¯¯¯ and CD¯¯¯¯¯¯¯¯ meet at the point O and these represent two intersecting lines. The line segment PQ¯¯¯¯¯¯¯¯ and RS¯¯¯¯¯¯¯ represent two parallel lines as they have no common intersection point in the given plane.
In a pair of intersecting lines, the angles which are opposite to each other form a pair of vertically opposite angles. In the figure given above, ∠AOD and ∠COB form a pair of vertically opposite angle and similarly ∠AOC and ∠BOD form such a pair. Therefore,
∠AOD = ∠COB
∠AOC = ∠BOD
For a pair of opposite angles the following theorem, known as vertical angle theorem holds true.
