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Objectives:-Identify and use the Parallel Postulate and the Triangle Sum Theorem

3.5 The Triangle Sum TheoremWarm-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: ADBEFCExample: Find the indicated angle measure.123Example: Find x and the measure of each angle.CABExample: Find x and the measure of each angle.CABExample: Find x and the measure of each angle.CABExample: Refer to the diagram below to complete the table.2314Objectives:-Identify and use Triangle Sum Theorem with algebraic scenarios that require factoring.

3.5 The Triangle Sum Theorem ContdWarm-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.ZWYExample:Find x and the measure of each angle.CABExample:Find x and the measure of each angle.FDEExample: Find x and the measure of each angle.CABExample: Find x and the measure of each angle.FDE