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# Parallel Lines & the Triangle Angle-Sum Theorem

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This lesson reviews the concepts of parallel lines and the Triangle Angle-Sum Theorem. I deliver this presentation using a tablet laptop in which I am able to write on the screen using a stylus pen. By working out the solutions with the students, it becomes interactive and engaging.

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### Parallel Lines & the Triangle Angle-Sum Theorem

1. 1. Review BM112 3-4: Parallel Lines & the Triangle Angle-Sum Theorem Ren Foshee Geometry
2. 2. <ul><li>Benchmark 112: </li></ul><ul><li>“ I Can apply the properties of parallel lines cut by a transversal to solve problems.” </li></ul>
3. 3. Vocabulary <ul><li>An exterior angle of a polygon is an angle formed by a side and an extension of an adjacent side. </li></ul><ul><li>Remote interior angles are the two nonadjacent interior angles corresponding to each exterior angle of a triangle. </li></ul>
4. 4. Take Note
5. 5. Example#1 <ul><li>Line r is parallel to line t . Find m 5. The diagram is not to scale. </li></ul>
6. 6. Example#2 <ul><li>Find the value of the variable if </li></ul><ul><li>and </li></ul>
7. 7. Example#3 <ul><li>Find the values of x and y . The diagram is not to scale. </li></ul>
8. 8. Example#4 <ul><li>Find </li></ul><ul><li>The diagram is not to scale. </li></ul>
9. 9. Example#5 <ul><li>Find the value of x for p to be parallel to q . </li></ul><ul><li>The diagram is not to scale. </li></ul>
10. 10. References <ul><li>Bass, Laurie E. et.al. California Geometry . Pearson Prentice Hall. Boston, MA. 2008. </li></ul><ul><li>www.phschool.com California Geometry . Pearson Prentice Hall. Boston, MA. 2008. </li></ul>
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