1. Vertical and Adjacent Angles
TeacherTwins©2014

2. Warm Up Supp. Supp. Comp Comp. (x+6)° 68 X= 54 X=29 x◦ 15 (5x)°
Identify the pairs of angles as complementary or supplementary or neither.
1). 45° and 45° 2). 36° and 54° 3). 65° and 115° 4).135° and 45°
Find the value of “x” for each figure.
5). 6).
7) ).
Supp.
Supp.
Comp
Comp.
(x+6)° 68
X= 54
112◦ x◦
30◦
X=29 x◦ 15
75◦
(5x)°
35◦

3. Flippable

4. Vertical angles- Angles that are opposite of each other when two lines intersect.
< 1 and < 3 are vertical angles.
< 2 and < 4 are vertical angles.

5. Adjacent angles- Angles that have a common side, a common vertex and do not overlap.
< 1 and < 2 are adjacent angles.
<2 and < 3 are adjacent angles.
<4 and < 3 are adjacent angles.
<1 and < 4 are adjacent angles.

6. Example 1: Name all of the vertical angles and adjacent angles.

7. Example 2: Find the value of x and the measure of <1, <3 and < 4.
< 1 is 105 degrees
<3 is 105 degrees
< 4 is 75 degrees
(3x + 15)°
75° 1 2 4 3

8. Practice <1 is 135° < 2 is 45° < 3 is 135°
1). Name 3 sets of vertical angles.
2). Name 4 sets of adjacent angles.
3). Name 1 set of supplementary angles.
4). If angle 4 is 45° what is the measure of <1, < 2 and < 3?
<1 is 135° < 2 is 45°
< 3 is 135°

9. Find the value of x and the measure of <1, <3 and < 4.
Closure
Find the value of x and the measure of <1, <3 and < 4.
(x + 40)°
60°
X = 80
<1 is 120 degrees
<3 is 120 degrees
<4 is 60 degrees 1 2 4 3