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Angle Relationships & Parallel Lines Mrs. Wedgwood
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Adjacent angles are “__________” and share a ______________. 45º 15º
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These are examples of ______ _____. 55º 35º 50º130º 80º 45º 85º 20º
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These angles are ___ _______. 45º55º 50º 100º 35º
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________________________ 40° 50°
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Complementary angles add up to ____. 60º 30º 40º 50º _____________________Complementary Angles but ______ Adjacent
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___________________ 30° 150°
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_______________________. 60º120º 40º 140º Adjacent and Supplementary Angles Supplementary Angles but not Adjacent
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___________________________. 100°
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Vertical Angles are __________one another. Vertical angles are ____________. 80°
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Lines __ and __ are ___________. ____________ 120° l m Note the 4 angles that measure 120°. n Line n is a transversal.
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Lines ____ and ____ are _______. _________ 60° l m Note the 4 angles that measure 60°. n Line n is a transversal.
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__________________________ 60° l m There are many pairs of angles that are supplementary. There are 4 pairs of angles that are vertical. 120° n Line n is a transversal.
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If _____lines are intersected by a transversal and any of the angle pairs shown below are ________, then the lines are _______. This fact is used in the construction of ___________ ___________
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Practice Time!
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1) Find the missing angle. 36° ?°?°
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2) Find the missing angle. 64° ?°?°
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3) Solve for x. 3x° 2x°
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4) Solve for x. 2x + 5 x + 25
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5) Find the missing angle. ?°?° 168°
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6) Find the missing angle. 58° ?°?°
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7) Solve for x. 4x 5x
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8) Solve for x. 2x + 10 3x + 20
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9) Lines l and m are parallel. l || m Find the missing angles. 42° l m b°b° d°d° f°f° a ° c°c° e°e° g°g°
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10) Lines l and m are parallel. l || m Find the missing angles. 81° l m b°b° d°d° f°f° a ° c°c° e°e° g°g°
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11) Find the missing angles. 70 ° b° 70 ° d °65 ° Hint: The 3 angles in a triangle sum to 180°.
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12) Find the missing angles. 45 ° b° 50 ° d °75 ° Hint: The 3 angles in a triangle sum to 180°.
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TOD ……………….In the figure a || b. 13. Name the angles congruent to 3. 14. Name all the angles supplementary to 6. 15. If m 1 = 105° what is m 3? 16. If m 5 = 120° what is m 2?
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The End
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