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3.5 Parallel Lines and Triangles

3.5 Parallel Lines and Triangles. Parallel Postulate Through a point not on a line, there is one and only one line parallel to the given line. Triangle Angle-Sum Theorem. The sum of the measures of the angles of a triangle is 180. Using the Triangle Angle-Sum Theorem.

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3.5 Parallel Lines and Triangles

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  1. 3.5 Parallel Lines and Triangles • Parallel Postulate • Through a point not on a line, there is one and only one line parallel to the given line.

  2. Triangle Angle-Sum Theorem • The sum of the measures of the angles of a triangle is 180.

  3. Using the Triangle Angle-Sum Theorem • What are the values of x and y in the diagram?

  4. Exterior Angle of a Polygon • An exterior angle of a polygon is an angle formed by a side and an extension of an adjacent side. • For each exterior angle of a triangle, the two nonadjacent interior angles are its remote interior angles.

  5. Triangle Exterior Angles Theorem • The measure of each exterior angle of a triangle equals the sum of the measures of its two remote interior angles.

  6. Using the Triangle Exterior Angle Theorem • What is the measure of angle 1?

  7. Using the Triangle Exterior Angle Theorem • What is the measure of angle 2?

  8. More Practice!!!!! • Homework – p. 175 – 176 #9 – 19.

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