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Angle Relationships

Angle Relationships. Supplementary angles Two angles whose sum is 180 ° Complementary angles Two angles whose sum is 90° . Vertically opposite angles Non-adjacent angles formed when two lines cross <AEB and <DEC are vertically opposite angles What is the other pair?.

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Angle Relationships

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  1. Angle Relationships

  2. Supplementary angles • Two angles whose sum is 180° Complementary angles • Two angles whose sum is 90°

  3. Vertically opposite angles • Non-adjacent angles formed when two lines cross • <AEB and <DEC are vertically opposite angles • What is the other pair?

  4. Sum of the Interior Angles in a Triangle • Draw any size triangle on a piece of paper and cut it out. • Label the angle a, b, and c. • Tear off angles b and c. • Line them up with angle a. What do you see?

  5. The sum of the interior angles of a triangle is always 180°.

  6. Interior Angles

  7. Transversal • A line that crosses two other lines or line segments

  8. Corresponding angles • Angles either both above or both below two lines on the same side of a transversal • If the lines are parallel, corresponding angles are congruent

  9. Interior angles • Angles between two lines on the same side of a transversal • If the lines are parallel, interior angles are supplementary

  10. Alternate interior angles • Angles between two lines on either side of a transversal • If the lines are parallel, alternate interior angles are congruent

  11. Find the measures of 1) <EHB 2) <FHG 3) <EHG Example 1

  12. Find the measure of the unknown angle (x). Support your answer with geometric reasoning. Example 2

  13. Find the measure of the unknown angle (x). Support your answer with geometric reasoning. Example 3

  14. Find the measure of the unknown angles (x and y). Support your answer with geometric reasoning. Example 4

  15. Classwork • Page 431-432, #1 and 3

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