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4-2 Angle Relationships in Triangles Objectives Find the measures of interior and exterior angles of triangles. Apply theorems about the interior and exterior angles of triangles. Vocabulary Holt Geometry 4-2 Angle Relationships in Triangles B 1 A Holt Geometry 2 C 4-2 Angle Relationships in Triangles Practice 1. Use the diagram to find m∠MJK. 1.5 For Fun find m∠L = ? Holt Geometry 4-2 Angle Relationships in Triangles A corollary is a theorem whose proof follows directly from another theorem. Here are two corollaries to the Triangle Sum Theorem. Holt Geometry 4-2 Angle Relationships in Triangles Practice: Finding Angle Measures in Right Triangles 2. The measure of one of the acute angles in a right triangle is 63.7°. What is the measure of the other acute angle? Holt Geometry 4-2 Angle Relationships in Triangles Practice 3. The measure of one of the acute angles in a right triangle is 2° 48 5 . What is the measure of the other acute angle? 4. One of the acute angles in a right triangle measures 2x°. What is the measure of the other acute angle? Holt Geometry 4-2 Angle Relationships in Triangles Interior Holt Geometry Exterior 4-2 Angle Relationships in Triangles Practice: Applying the Exterior Angle Theorem 5. Find m∠B. Holt Geometry 6. Find m∠ACD. 4-2 Holt Geometry Angle Relationships in Triangles 4-2 Angle Relationships in Triangles Practice: Applying the Third Angles Theorem 7. Find m∠K and m∠J. Holt Geometry 4-2 Angle Relationships in Triangles Practice 8. Find m∠P and m∠T. Holt Geometry