Objectives: -Identify and use the Parallel Postulate and the Triangle Sum Theorem Warm-Up: Position one letter in each of the five openings. Do this in such a manner that three numbers are spelled out that total thirteen. Words may be written clockwise and counterclockwise, and individual letters may be shared.

The Parallel Postulate: Given a line and a point not on the line, there is one and only one line that contains the given point and is parallel to the given line.

The Triangle Sum Theorem:

Exterior Angle Theorem:

Example: Two angle measures are given. Find the missing angle measure or state that the triangle does not exist.

Example: A D B E F C

Find the indicated angle measure

Example: Find x and the measure of each angle. C A B

Example: Find x and the measure of each angle. C A B

Example: Find x and the measure of each angle. C A B

Example: Refer to the diagram below to complete the table

Objectives: -Identify and use Triangle Sum Theorem with algebraic scenarios that require factoring. Warm-Up: Travel through this maze totaling exactly 100 points. No passage or intersection may be used more than once. Enter and exit the maze at the designated arrows.

Factoring / Zero Product Property Review:

Example: Find x and the measure of each angle. Z W Y

Example: Find x and the measure of each angle. C A B

Example: Find x and the measure of each angle. F D E

Example: Find x and the measure of each angle. C A B

Example: Find x and the measure of each angle. F D E