ccgps math 8 mrs. palmieri it’s check time!!! let’s see who has been studying…
TRANSCRIPT
CCGPS Math 8Mrs. Palmieri
It’s check time!!!
Let’s see who has been studying…
A.) same-side interior angles
B.) same-side exterior angles
C.) alternate interior angles
D.) alternate exterior angles
1)
A.) supplementary angles
B.) complementary angles
C.) vertical angles
D.) corresponding angles
2)
A.) corresponding angles
B.) vertical angles
C.) adjacent angles
D.) supplementary angles
3)
A.) alternate interior angle
B.) alternate exterior angle
C.) same-side interior angle
D.) same-side exterior angle
4)
A.) same-side interior angles
B.) same-side exterior angles
C.) alternate interior angles
D.) alternate exterior angles
5)
Let’s fish for more information…
Angles formed from parallel lines cut by a transversal are also related by their measurements.
50
These adjacent angles are also supplementary- meaning that they equal
180 when added together. If one angle is 50, then the other angle would equal…
130
Here’s the best part!!!130
130
130
50
50
50
All obtuse angles are congruent (equal)
All acute angles are congruent (equal)
When parallel lines are cut by a transversal, ALL of the angles are either
Congruent OR Supplementary
same angle
measure
Equals 180
Congruent vs. Supplementary
Same side interior
Same side exterior
Alternate interior
Alternate exterior
Corresponding Adjacent
Vertical Linear pair
Congruent or Supplementary?
A.) Congruent
B.) Supplementary
X
X
Congruent or Supplementary?
A.) Congruent
B.) Supplementary
X
X
Congruent or Supplementary?
A.) Congruent
B.) Supplementary
X
X
Congruent or Supplementary?
A.) Congruent
B.) Supplementary
X
X
Congruent or Supplementary?
A.) Congruent
B.) Supplementary X
X
Congruent or Supplementary?
A.) Congruent
B.) Supplementary
X
X
Congruent or Supplementary?
A.) Congruent
B.) Supplementary
X
X
We can use that
information (congruent ,
supplementary , or even
complementary) to solve
for angle measures.
Find the measure of angle x.
x 50
Find the measure of angle x.
x
43
Find the measure of angle x.
x
63
Find the measure of angle x.
x35
Find x AND the measure of the missing angle.
(3x + 18)
93
(3x + 18) + 93 = 180
3x + 111 = 180
- 111 = - 111
3x = 69 3 3
x = 23
Plug in 23 for “x” in 3x + 18
3 (23) + 18 = 87
The angle 3x + 18 is 87
Find x AND the measure of the missing angle.
6x + 2
40
40 + (6x + 2) = 90
6x + 42 = 90
-42 = -42
6x = 48
6 = 6
x = 8
Plug in 8 for “x” in 6x + 2
6 (8) + 2 = 50
The angle 6x + 2 is 50
Find x AND the measure of the missing angle.
(2 + 3x)
62
(2 + 3x) = 62
-2 = -2
3x = 60 3 3
x = 20
The angle (2 + 3x) is 62
Plug in 20 for the variable “x” in (2 + 3x)
Awesome job!!!