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Illustrations of Angle Pairs Geometry Mr. Killian What angle pairs do you see here? Adjacent Angles Linear Pair Vertical Angles Complementary Angles Supplementary Angles Adjacent Angles Angles that share a vertex and an entire side (ray) ADJACENT ANGLES – Share a vertex and an entire side The blue and green angles are adjacent ADJACENT ANGLES – Share a vertex and an entire side The blue and green angles are adjacent ADJACENT ANGLES – Share a vertex and an entire side The blue and green angles are adjacent ADJACENT ANGLES – Share a vertex and an entire side The blue and green angles are adjacent ADJACENT ANGLES – Share a vertex and an entire side The blue and green angles are adjacent ADJACENT ANGLES – Share a vertex and an entire side The blue and green angles are adjacent ADJACENT ANGLES – Share a vertex and an entire side The blue and green angles are adjacent ADJACENT ANGLES – Share a vertex and an entire side The blue and green angles are adjacent Linear Pair Adjacent and the non-shared sides form a line (when put together, they make a straight angle) LINEAR PAIR – Adjacent & non-shared sides form a line The blue and green angles form a linear pair LINEAR PAIR – Adjacent & non-shared sides form a line The blue and green angles form a linear pair LINEAR PAIR – Adjacent & non-shared sides form a line The blue and green angles form a linear pair LINEAR PAIR – Adjacent & non-shared sides form a line The blue and green angles form a linear pair Vertical Angles Formed when two lines intersect. These angles are not adjacent - they are “across from each other.” VERTICAL ANGLES – Formed by intersection of 2 lines and are across from each other (not adjacent) The blue and green angles are vertical angles VERTICAL ANGLES – Formed by intersection of 2 lines and are across from each other (not adjacent) The blue and green angles are vertical angles VERTICAL ANGLES – Formed by intersection of 2 lines and are across from each other (not adjacent) The blue and green angles are vertical angles VERTICAL ANGLES – Formed by intersection of 2 lines and are across from each other (not adjacent) The blue and green angles are vertical angles Complementary Angles Angles whose measures sum to 90º COMPLEMENTARY ANGLES – Angles whose measures sum to 90º The blue and green angles are complementary COMPLEMENTARY ANGLES – Angles whose measures sum to 90º The blue and green angles are complementary COMPLEMENTARY ANGLES – Angles whose measures sum to 90º (they don’t have to be adjacent) 65º 25º The blue and green angles are complementary COMPLEMENTARY ANGLES – Angles whose measures sum to 90º (they don’t have to be adjacent) 70º 20º The blue and green angles are complementary Supplementary Angles Angles whose measures sum to 180º SUPPLEMENTARY ANGLES – Angles whose measures sum to 180º The blue and green angles are supplementary SUPPLEMENTARY ANGLES – Angles whose measures sum to 180º The blue and green angles are supplementary SUPPLEMENTARY ANGLES – Angles whose measures sum to 180º 160º 20º The blue and green angles are supplementary SUPPLEMENTARY ANGLES – Angles whose measures sum to 180º 20º 160º The blue and green angles are supplementary