VERTICAL ANGLES & LINEAR PAIRS
Here is a pair of LINES. They are intersecting. There are
4 angles that are formed.
1
2
3
We can shade congruent
angles.
Red angles are congruent
Blue angles are congruent.
4
1
2
4
3
The matching colors are called vertical angles. The are
congruent. To solve, set them equal to each other.
m∠2 = m∠4
and
m∠3 = m∠1
2
1
4
3
How are Vertical Angles different from
Linear pairs?
Theses are all the examples of linear pairs, supplementary angles, that
together add up to equal 180. Notice how it is always one blue and one red
angle in our picture?
Red angle + blue angle = 180. No matter what. (Together, not separately.)
NOTICE that the same two intersecting lines create 2 pairs of vertical
angles and 4 pairs of linear angles. This ALWAYS occurs when two lines
intersect. It is up to you to look closely to determine if two angles may be
vertical angles or linear pairs
LINEAR PAIRS:
1
1
2
2
4
4
3
3
1
2
2
3
4
1
4
3