Vertically opposite angles explained with example

Learn what are vertically opposite angles in geometry. Actually, while studying types of angles or lines and angles concepts we will come across this vertically opposite angles.

Vertically opposite angles explained

We know what is an angle? And how to define it. Now we will learn what are vertically opposite angles and also we will know some facts about it.

Vertically opposite angles definition:

Do you know when two lines are intersecting how many angles it forms? Yes whenever two lines are intersecting, it forms four angles. In four angles, the angles opposite to each other are called vertically opposite angles. Let me take one example and explain then it will be easy to understand.  

Vertically opposite angles explained

Let “p” and “r” be the two lines which are intersecting at the point “j”. Now we can observe that the two lines are forming four angles. The angles are ∠1, ∠2, ∠3 and ∠4.

Here, ∠1 and ∠3 are called as vertically opposite angles.

And also the remaining two angles i.e. ∠2 and ∠4 are called vertically opposite angles.

Some of the interesting facts about vertically opposite angles:

The first and important fact is “vertically opposite angles are always equal”. In our example, ∠1 and ∠3 are equal and also ∠2 and ∠4 are equal. If you know this fact, we can solve some problems in lines and angles chapter.

The second fact is that the sum of the adjacent angles are supplementary.

∠1 And ∠2 are supplementary angles

∠2 And ∠3 are supplementary angles

∠3 And ∠4 are supplementary angles

∠4 And ∠1 are supplementary angles

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