SWBAT- Identify adjacent, vertical, complementary and supplementary angles.
Find measures of pairs of angles.
SWBAT- Identify adjacent, vertical, complementary and supplementary angles.
Find measures of pairs of angles.
50
25 90
25
m ∡VOY = 25 + 90 + 40
m ∡VOY = 155
m ∡UOX = 25 + 25 + 90
m ∡UOX = 140
SWBAT- Identify adjacent, vertical, complementary and supplementary angles.
Find measures of pairs of angles.
SWBAT- Identify adjacent, vertical, complementary and supplementary angles.
Find measures of pairs of angles.
Complementary angles
supplementary angles
2 Angles that add to 90◦
2 Angles that add to 180◦
Linear pair
Vertical angles
A pair of adjacent angles The angles opposite each other
when two lines intersect
that form a straight line.
SWBAT- Identify adjacent, vertical, complementary and supplementary angles.
Find measures of pairs of angles.
85
65
90
180
SWBAT- Identify adjacent, vertical, complementary and supplementary angles.
Find measures of pairs of angles.
Yes
Yes
Yes
No
Yes
Yes
SWBAT- Identify adjacent, vertical, complementary and supplementary angles.
Find measures of pairs of angles.
36◦
126◦
NONE
85◦
NONE
90◦
NONE
68◦
SWBAT- Identify adjacent, vertical, complementary and supplementary angles.
Find measures of pairs of angles.
3x+12+7x-32= 180
20
72
108
m ∡1 + m ∡2 = 180
3x+12+7x-32= 180
10x-20 = 180
10x = 200
x = 20
m ∡1=3x+12= 3(20)+12=72
m ∡2=7x-32= 7(20)-32=108
SWBAT- Identify adjacent, vertical, complementary and supplementary angles.
Find measures of pairs of angles.
13x-15+6x+5= 180
10
180
115
180
65
m ∡1 + m ∡2 =
13x-15 + 6x+5 =
19x - 10 = 180
19x = 190
x = 10
m ∡1 = 13x-15= 13(10) – 15 = 115
m ∡2 = 6x + 5= 6(10) + 5 = 65
SWBAT- Identify adjacent, vertical, complementary and supplementary angles.
Find measures of pairs of angles.
m ∡1 + m ∡2 = 90
3x+12+7x-32= 180
8
50
6x + 2 + 4x + 8 = 90
10x + 10 = 90
10x = 80
x = 8
m ∡1 = 6x + 2= 6(8) + 2 = 50
m ∡2 = 4x + 8= 4(8) + 8 = 40
40
SWBAT- Identify adjacent, vertical, complementary and supplementary angles.
Find measures of pairs of angles.
5x - 20 = x + 50
17.5
112.5
=17.5 + 50 = 67.5
180-67.5
= 112.5
Vertical Angles are Equal.
m ∡AEC = m ∡BED
5x - 20 = x + 50
4x = 70
x = 17.5
m ∡AEC = 5(17.5) – 20 = 67.5
m ∡CEB = 180 – 67.5 = 112.5
SWBAT- Identify adjacent, vertical, complementary and supplementary angles.
Find measures of pairs of angles.
SWBAT- Identify adjacent, vertical, complementary and supplementary angles.
Find measures of pairs of angles.