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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.
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Vertical Angles • Two angles formed by intersecting lines and have no sides in common. • Are congruent.
Supplementary Angles • Two angles sharing one side that add up to exactly 180°
Complementary Angles • Two angles, sharing one side that add up to exactly 90°
Adjacent Angles • Adjacent angles share a common vertex and one common side.
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:
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
Complementary angles are……. Review
Review • Complementary angles are…….
Review • Supplementary Angles are…..
Find the missing angle I know that these angles are complementary. They must add up to 90° So…… 90 – 55 = 35 The missing angle is 35 55 x
You try. Are they supplementary or complementary? Find the missing side. x 20
You try. Are they supplementary or complementary? complementary Find the missing side. 90 – 20 = 70 The missing angle Is 70 x 20
One More 50 x
Find the missing angle 120 x 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 130 x What kind of angles? What’s the missing angle?
Find the missing angle 130 x What kind of angles? Supplementary What’s the missing angle? Adds up to 180, so….. 180 – 130 = 50
Find the missing angle x 30 Do this one on your own.