# Lesson 4-2 Angles of Triangles - Burlington County Institute ... Lesson 4-2 Angles of Triangles Concept 1 Concept 2

Example 1 Angle-Sum Use the Triangle 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 Angle-Sum Use the Triangle Theorem

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

Concept 3 Example 2 Angle Theorem Use the Exterior

GARDENING Find the measure of FLW in the fenced flower garden shown. Example 2 The piece of quilt fabric is in the shape of a right

triangle. Find the measure of ACD. A. 30 B. 40 C. 50 D. 130

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 Find m3. A. 50 B. 45 C. 85 D. 130

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.