1-5: Exploring Angle Pairs
White Board Work
Draw:
• an acute angle
• a pair of adjacent angles
• a right angle
• 2 right angles that share a vertex,
but do not share any sides
Types of Angle Pairs
– two angles whose sides
are opposite rays
– two coplanar angles
with a common side, a common vertex,
and no common interior points
𝟐
𝟏
𝟏
𝟐
Types of Angle Pairs
Complementary Angles
are
Complementary
Angles
∠1 and ∠2 are comp. ∠s
Two angles
𝒙°
have measures that
add to 90°
𝟏
𝟐 (𝟗𝟎 − 𝒙)°
Supplementary Angles
∠1 and ∠2 are supp. ∠s
Two angles
are
Supplementary
Angles
have measures that
add to 180°
(𝟏𝟖𝟎 − 𝒙)°
𝟏
𝟐 𝒙°
See if you can name all pairs of:
1. vertical angles
2. adjacent angles
⋅
𝑨
3. complementary angles
4. supplementary angles
⋅
⋅
𝑪
𝑩
𝟐
𝟏
𝟑
𝟓
𝑶
𝟒
⋅
𝑫
⋅
𝑬
of Linear Pair
Linear Pair
Two angles
are a
Linear Pair
are adjacent
and their unshared
sides form a line
∠1 and ∠2 are a lin. pair
𝟏
𝟐
Linear Pair Postulate
If
then
2 ∠s form
a linear pair
they are supplementary
𝟏
𝟐
𝒎∠𝟏 + 𝒎∠𝟐 = 𝟏𝟖𝟎°
Name all the linear pairs in the diagram.
⋅
⋅
𝑪
𝑩
⋅
𝑨
𝟐
𝟏
𝟑
𝟓
𝑶
𝟒
⋅
𝑫
⋅
𝑬
Do the 1-5 assignment in MathXL