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.