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Transcript
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. Complementary How 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 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 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? x 20 Find the missing side. You try. Are they supplementary or complementary? complementary Find the missing side. x 20 90 – 20 = 70 The missing angle Is 70 One More 50 x Find the missing angle 120 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 x Find the missing angle 130 What kind of angles? What’s the missing angle? x Find the missing angle 130 What kind of angles? Supplementary What’s the missing angle? Adds up to 180, so….. 180 – 130 = 50 x Find the missing angle x Do this one on your own. 30 Right Wrong
