Lesson 4-2 Angles of Triangles. Concept 1 Concept 2.

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Presentation transcript:

Lesson 4-2 Angles of Triangles

Concept 1

Concept 2

Example 1 Use the Triangle Angle-Sum Theorem SOFTBALL The diagram shows the path of the softball in a drill developed by four players. Find the measure of each numbered angle.

Example 1 Use the Triangle Angle-Sum Theorem

Example 1 A.95 B.75 C.57 D.85 Find the measure of  3.

Concept 3

Example 2 Use the Exterior Angle Theorem GARDENING Find the measure of  FLW in the fenced flower garden shown.

Example 2 A.30 B.40 C.50 D.130 The piece of quilt fabric is in the shape of a right triangle. Find the measure of  ACD.

Concept 5

Example 3 Find Angle Measures in Right Triangles Find the measure of each numbered angle.

Example 3 Find Angle Measures in Right Triangles

Example 3 A.50 B.45 C.85 D.130 Find m  3.

Vocabulary Auxiliary line-Extra line or segment drawn in a figure to help analyze geometric relationships. Exterior angle-Formed by one side of the triangle and the extension of an adjacent side. Remote interior angles- Each exterior angle of a triangle that are not adjacent to the exterior angle. Flow proof-Use statements written in boxes and arrows to show the logical progression of an agrument.