Angles and Parallel Lines SACHS
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When a transversal crosses a pair of parallel lines it creates two sets of identical angles. Complete the 4 missing angles below. 100ο 80ο ο ο 100ο 80ο ο ο The matching angles are called corresponding angles. α Hence, Corresponding Angles are equal. α There are α α pairs of Corresponding Angles. α α α α  x = ο  p = ο  k = ο  d = q = ο ο α There are α The equal angles between the parallel lines are called alternate angles. Hence, Alternate Angles are equal. pairs of Alternate Angles. α α  m = ο  q = ο  b = ο  m = d = ο ο There are α θ Co-interior Angles are supplementary. The angles together between the parallel lines add to 180ο. pairs of Co-interior Angles. θ α  m = ο  p = ο  x = ο  b = a = ο ο Angle g is corresponding to angle Angle c is alternate to angle Angle e is co-interior to angle h e d g a f c b  Angle p is equal to: 126ο alternate angles 126ο corresponding angles 54ο co-interior angles Select the correctangle and reasonin relation to thegiven angle. Angle q is equal to: 126ο alternate angles 126ο corresponding angles 54ο co-interior angles Select the correctangle and reasonin relation to thegiven angle. Angle r is equal to: 126ο alternate angles 126ο corresponding angles 54ο co-interior angles Select the correctangle and reasonin relation to thegiven angle. |
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