4.2 Angles of Triangles Then: You classified triangle by their side or angle measures. Now: 1. Apply the Triangle Angle-Sum Theorem. 2. Apply the Exterior.

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4-2 Angles of Triangles You classified triangles by their side or angle measures. Apply the Triangle Angle-Sum Theorem. Apply the Exterior Angle Theorem.

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Presentation transcript:

4.2 Angles of Triangles Then: You classified triangle by their side or angle measures. Now: 1. Apply the Triangle Angle-Sum Theorem. 2. Apply the Exterior Angle Theorem.

Theorem 4.1 Triangle Sum Theorem The sum of the measures of the angles of a triangle is 180.

Example 1 Find the measure of each numbered angle. a. b.

Example 1 c. The diagram shows the path of the softball in a drill developed by four players. Find the measure of each numbered angle. m  1 = m  2 = m  3 =

Example 1 d. Find the measure of each numbered angle. m  1 = m  2 =

Theorem 4.2 Exterior Angle Theorem The measure of an exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles.

Example 2 a. Find the measure of each numbered angle. m  1 = m  2 =

Example 2 b. Find m  F.

Example 2 c. GARDENING Find the measure of  FLW in the fenced flower garden shown.

Triangle Angle-Sum Corollaries

Example 3 a. Find the measures of each numbered angle. m  1 = m  2 = m  3 = m  4 = m  5 =

Example 3 b. Find the measures of each numbered angle. m  1 = m  2 = m  3 =

Example 3 c. Find the measures of each numbered angle. m  1 = m  2 = m  3 = m  4 = m  5 =

4.2 Assignment: p #12-22 evens, all, 32, 33, 36, 38, 42,46, evens