3.4 parallel Lines and the Triangle Angle-Sum Theorem

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Presentation transcript:

3.4 parallel Lines and the Triangle Angle-Sum Theorem 12.0 Students find and use measures of interior and exterior angles of triangles to classify figures and solve problems 13.0 Students prove relationships between angles in polygons by using properties of complementary, supplementary, vertical, and exterior angles

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

Example #1

Example #2

Example #3

Classifying Different Triangles

Vocabulary Exterior angle of a polygon – an angle formed by an side and an extension of an adjacent side

Vocabulary Remote interior angle – two nonadjacent interior angles

Example #1 X 90 123°

Example #2 Z 57° 57°

Example #3 20° 35° X Y Z 43°

Assignment Pg 150 #1-9, 20, 24, 26