angle pairs. vertical angles two angles formed by intersecting lines and have no sides in common....
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Angle Pairs
Vertical Angles
• Two angles formed by intersecting lines and have no sides in common.
• Are congruent.
Vertical Angles
Supplementary Angles
• Two angles sharing one side that add up to exactly 180°
Supplementary Angles
Complementary Angles
• Two angles, sharing one side that add up to exactly 90°
Complementary Angles
Adjacent Angles
• Adjacent angles share a common vertex and one common side.
Adjacent Angles
Adjacent Angles
Supplementary vs. ComplementaryHow do I remember?
• The way I remember is this:
• C comes before S in the alphabet.
• 90 comes before 180 when I count.
• Complementary is 90, Supplementary is 180.
Guess Who?
• I am an angle.
Guess Who?
• I am an angle.
• I have 180°
Guess Who?
• I am an angle.
• I have 180°
• I look like this:
Supplementary Complementary
Guess Who?
• I am two adjacent angles.
Guess Who?
• I am two adjacent angles.
• I look like an “L” with a line in the middle.
Guess Who?
• I am two adjacent angles.
• I look like an “L” with a line in the middle.
• I add up to 90°
• I look like this:
Guess Who?
• I am two adjacent angles.
• I look like an “L” with a line in the middle.
• I add up to 90°
• I look like this:
Complementary Supplementary
Guess Who?
Complementary Supplementary
Guess Who?
Complementary Supplementary
Review
• Complementary angles are…….
Review
• Complementary angles are…….
Review
• Supplementary Angles are…..
Supplementary Angles
Vertical Angles are…….
Vertical Angles
Adjacent Angles are…
Adjacent Angles
Find the missing angle
55
x
I know that these angles are complementary.
They must add up to 90°
So……
90 – 55 = 35
The missing angle is 35
You try.
20x
Are they supplementary or complementary?
Find the missing side.
You try.
20x
Are they supplementary or complementary?
complementary
Find the missing side.
90 – 20 = 70
The missing angle
Is 70
One More
50
x
Find the missing angle
120x
I know these are supplementary angles.
Supplementary angles add up to 180.
The given angle is 120. So…..
180 – 120 = 60
The missing angle is 60
Find the missing angle
130x
What kind of angles?
What’s the missing angle?
Find the missing angle
130x
What kind of angles?
Supplementary
What’s the missing angle?
Adds up to 180, so…..
180 – 130 = 50
Find the missing angle
x30
Do this one on your own.
Right
Wrong