Let us study about Adjacent & Vertical angles,
Adjacent angles are any two angles that share a common side separating the two angles and that share a common vertex. In Figure 1 , ∠1 and ∠2 are adjacent angles.
Figure 1
Vertical angles
Vertical angles are formed when two lines intersect and form four angles. Any two of these angles that are not adjacent angles are called vertical angles. In Figure 2 , line l and line m intersect at point Q, forming ∠1, ∠2, ∠3, and ∠4.
Figure 2
* Vertical angles:
o ∠1 and ∠3
o ∠2 and ∠4
* Adjacent angles:
o ∠1 and ∠2
o ∠2 and ∠3
o ∠3 and ∠4
o ∠4 and ∠1
Theorem 7: Vertical angles are equal in measure.
I hope the above explanation was useful.
Adjacent angles are any two angles that share a common side separating the two angles and that share a common vertex. In Figure 1 , ∠1 and ∠2 are adjacent angles.
Figure 1
Adjacent angles.
Vertical angles
Vertical angles are formed when two lines intersect and form four angles. Any two of these angles that are not adjacent angles are called vertical angles. In Figure 2 , line l and line m intersect at point Q, forming ∠1, ∠2, ∠3, and ∠4.
Figure 2
Two pairs of vertical angles and four pairs of adjacent angles.
* Vertical angles:
o ∠1 and ∠3
o ∠2 and ∠4
* Adjacent angles:
o ∠1 and ∠2
o ∠2 and ∠3
o ∠3 and ∠4
o ∠4 and ∠1
Theorem 7: Vertical angles are equal in measure.
I hope the above explanation was useful.
