Download angle relationships

ANGLE
RELATIONSHIPS
5-Minute Check
Answer 1
Angle 1……Symmetric
Answer 2
AB = TU ……...
Students will analyze & apply properties of
special pairs of angles to solve angle
diagrams.
Key Vocabulary
• Complementary Angles- A pair of angles whose
sum is 90.
• Supplementary Angles- A pair of angles whose
sum is 180.
• Linear Pair- A pair of adjacent angles whose sum
is 180.
• Vertical Angles- Two Angles whose sides form
opposite rays.
Example of Right Angle Congruence
Pair Share
Given
Vertical Angle Congruence
Transitive Prop
Transitive Prop
Vertical Angle Congruence
Guided Practice With a Partner
Angle 3 = 112, Angle 2 & 4 = 68
Angle 4 = 67,
Angle 1& 3 = 113
Angle 2 = 71,
Angle 1&3 = 109
Quick Write…explain
With a partner: Find the value of the
variables & the measures of each angles
below
X=5 & Y=26
Angles are 74 & 106
X=10 & Y=40
Angles are 130 & 50
On your own…White Boards
Solve for the variables & angles.
X = 7 and Y = 9……so Angle Measures are 36 and 144
What are the angle / variable
relationships?
Linear Pair Supplementary
Complementary Angles
Complementary Angles
Linear Pair Supplementary
Performance Task Solve & Explain the Angle
Relationship
1
X = 9……Complementary
2
X= 11 and Y= 17………. Vertical
Complementary Angles Y= 9
Your Turn to Try a Few